A rectangle has a length that is 4 meters more than the width. The area of the rectangle is 117 square meters. Find the dimensions of the rectangle.
Answer choices are on picture.
Answers
Answer:
Its the first choice. Width:9 Length:13
Step-by-step explanation:
If the length is 4 meter more than the width than that means whatever the width is you must add 4 to it, in this case the width is 9 so add 4 to it which equals 13. If the length matches your answer it is the correct choice.
The area of a rectangle is the product of its dimensions. The dimension of the rectangle is: [tex]Length = 13m[/tex] and [tex]Width = 9m[/tex]
Given that:
[tex]L =4 + W[/tex]
[tex]Area = 117[/tex]
The area of a rectangle is:
[tex]Area = L \times W[/tex]
So, we have:
[tex]L \times W= 117[/tex]
Substitute [tex]L =4 + W[/tex]
[tex](4 + W) \times W = 117[/tex]
Expand
[tex]4W + W^2 = 117[/tex]
Rewrite as:
[tex]W^2 + 4W- 117 = 0[/tex]
Expand
[tex]W^2 + 13W - 9W - 117 = 0[/tex]
Factorize
[tex]W(W + 13) - 9(W + 13) = 0[/tex]
Factor out W + 13
[tex](W - 9)(W + 13) = 0[/tex]
Solve for W
[tex]W = 9[/tex] or [tex]W = -13[/tex]
The dimension cannot be negative.
So:
[tex]W = 9[/tex]
Recall that:
[tex]L =4 + W[/tex]
[tex]L = 4 + 9[/tex]
[tex]L = 13[/tex]
So, the dimension of the rectangle is:
[tex]Length = 13m[/tex]
[tex]Width = 9m[/tex]
Read more about areas at:
https://brainly.com/question/15218510
Related Questions
Carmen is 153.95 cm tall. Marcus is 160.2 cm tall. Who is taller? By how much?
Answers
Answer:
.marcus is taller by 6.25
Step-by-step explanation:
A teacher places 10 marbles in a bag.
5 blue marbles,
2 red marbles,
3 yellow marbles,
A student draws one marble from the bag, does not replace it, then draws another marble from the bag. What is the probability that the first marble will be red and the second marble will be blue?
Answers
Answer:
3/20 hope it is right
Step-by-step explanation:
Easy math questions, I just don't have time
Answers
He paid $1,502
He received four ten-dollar bills
What is not equivalent to 1/2
Answers
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
hahajshnwwoahabw is msia
Why might the triangulation method not always produce an exact point (other than any measurement errors)
Answers
Answer:
The triangulation method might not always produce an exact point (other than any measurement errors) because:
The method uses different data sources, researchers, and theories or perspectives.
Step-by-step explanation:
Research Triangulation uses multiple methods, data sources, different investigators, and varied theories for the purpose of developing a more comprehensive understanding of the underlying situations. Triangulation validates the qualitative research by obtaining information from different sources, investigators, viewpoints, or methods.
Ann had 48 fliers to post around town. Last week, she posted 2/3 of them. This week, she posted 3/8 of the remaining fliers. How many fliers has she still not posted?
Answers
Answer:
Ann had 48 fliers to post around town
Last week, she posted 2/3 of them
[tex]48 \times \frac{2}{3} = 32 \\ [/tex]
Therefore, she should posted 32 fliers
This week, she posted 3/8 of the remaining fliers
[tex]48 \times \frac{3}{8} = 18 \\ [/tex]
Therefore, she should posted 18 fliers
Total fliers she should post are (32+18)=50 fliers
She still did not post (50-48)= 2 fliers
2 fliers is the right answer.Alyssa sold half of her comic books and then bought 7 more. She now has
17. How many did she begin with ?
Answers
She began with 20.
If she bought 7 more books and ended up with 17, that means she had ten beforehand. If she had half remaining, we simply double it, thus getting 20.
Evaluate the function.
f(x) = 3x² + 5x – 14
Find f(-3)
Answer:
Submit Answer
Answers
3*-9+(-15)-14
-27+-15-14
-42-14
-56
(91/3+42/3)/7-(-12)
plzzz help me with this
Answers
Answer:
18.333 continued
Step-by-step explanation:
Math
Which equation will solve the following word problem? One small pitcher and one large pitcher can hold 12 cups of water. If the large pitcher is twice the size of the small pitcher, how much does the small pitcher hold?
S = 12/2S
2S = 12/S
2S + S = 12
2S - S = 12
Answers
Amount of water hold by both the pitchers (Large + small) = 12 cups
Let the small pitcher holds the water = S cups
If the water hold by the large pitcher is twice the size of the small pitcher, then the amount of water hold by large pitcher = 2S
Total amount water hold by both = S + 2S
Equation for this situation will be,
S + 2S = 12
Therefore, Option (3) will be the answer.
(Giving brainliest!)
Explain the following in complete sentences:
is the number 1 prime?
Answers
Answer: No because it’s the 1st number
No
No
Explanation:
The definition of a prime number is a positive integer that has exactly two positive divisors. However, 1 only has one positive divisor (1 itself), so it is not prime. Hope it’s helps:)
You roll a standard number cube 150 times. Predict how many times you will roll a 3 or a 4?
Answers
Answer:
50
Step-by-step explanation:
bc 150/6 is 25 and since u said 2 numbers it'll be 50
Which set of shapes can be arranged in 6 equal groups, with no shapes left
over?
Answers
The set of shapes that can be arranged in 6 equal groups is the first set or the set of triangles.
What does it mean to arrange with no shapes left over?This task requires you to arrange or divide the shapes in equal groups of 6 and once the shapes are divided there can not be any shape leftover. Let's look at some examples:
20 apples divided between 5 people = 4 apples4 apples x 5 people = 20 (there are no apples leftover)20 apples divided between 6 people = 3 apples3 apples x 6 people = 18 apples ( there are 2 apples left over)What set does not leave shapes leftover?The only set in which this occurs is the triangle set. This is because there are 12 triangles and 6 is a divisor of 12.
12 / 6 = 26 x 2 = 12Note: This question is incomplete, below I attach the missing part.
Learn more about shapes in: https://brainly.com/question/2372287
Please see my other questions and help asap i need to turn it in like 30 min
Answers
Answer: Uhm, omkay sirs
Step-by-step explanation:
For P(x) = 2x^4 – 5x^3+x-10, use synthetic substitution to evaluate P(-2). P(1), and P(2).
Answers
Answer:
P(-2) = 2(-2^4) - 5(-2^3) + (-2) -10
= 2(16) - 5(-8) + (-2) - 10
= 32+40-2-10
= 60
P(1) = 2(1^4) - 4(1^3) + (1) - 10
= 2 - 4 + 1 - 10
= -11
P(2). = 2(2^4) - 5(2^3) + (2) - 10
= 2(16) - 5(8) + 2 - 20
= 32-40+2-10
= -20
2
-3
Find the least common denominator of
x2 - 4x – 21
and
x² - 4
Answers
Answer:
LCD = (x - 7)(x + 3)(x + 2)(x - 2)
Step-by-step explanation:
First, we factor each polynomial.
x^2 - 4x - 21 = (x - 7)(x + 3)
x^2 - 4 = (x + 2)(x - 2)
There are 4 different factors and none are in common, so the LCD is the product of all the factors.
LCD = (x - 7)(x + 3)(x + 2)(x - 2)
Answer:
(x+3)(x-7) & (x+2)(x-2)
Step-by-step explanation:
Leah plans to purchase merchandise from a department store that is valued at $100. She will use $20 in-store bucks that she has earned
plus a 30% discount coupon to reduce her final cost. What is the final cost of the items (before tax) if the $20 store bucks are applied before
the 30% discount?
Answers
100 - 20 = $80
if the 30% is applied it will be
80 - 30% = $56
The final cost of the items (before tax) if the $20 store bucks are applied before the 30% discount is $76.
The discount of 30% will be applied on $80 ($100 - $20), resulting to a discount of of $24 ($80 * 30%).
This discount is subtracted from the total value of the merchandise to get the final cost as $76 ($100 - $24).
Thus, the final cost to Leah to purchase the merchandise from the department store is $76.
Learn more about discount coupon at https://brainly.com/question/22303372
How many variable terms are in the expression 3x3y +5x2-4y+z+9?numeric value only
Answers
Answer:
im pretty sure its 5
Step-by-step explanation:
x, y, x, y, z
Hope this helps!
Which shape has parallel lines and at least one acute angle
Answers
The shape which has parallel lines and at least one acute angle is; Choice C.
Which shape has parallel lines and at least one acute angle?From definition, an acute angle is one whose angle measure is less than 90⁰.
Additionally, parallel lines are lines which can never intersect one another.
Therefore, from the definitions above, it follows that the required shape is; Choice C.
Read more on shapes;
https://brainly.com/question/25965491
#SPJ2
will i get it right?
Answers
Answer:
Yes
Step-by-step explanation:
It's not multiple choice, anyone know the answer I'm stuck :(
Answers
Answer:
regular polygon of 9 sides has 9 lines of symmetry
Help please
Using the remainder theorem see if (x-2) and (x+5) are factors of the polynomial
X^2+3x-10
Answers
Answer:
See explanations below
Step-by-step explanation:
Given the polynomial function
P(x) = X^2+3x-10
To check whether x-2 and x+5 are factor, we will find x and then show that P(x) = 0
For x-2
x - 2 = 0
x =2
P(2) = 2²+3(2)-10
P(2) = 4+6 -10
P(2) = 10-10
P(2) = 0
Since the remainder is zero, hence x-2 is a factor of the polynomial
Similarly for x+5;
x+5 = 0
x = -5
P(-5) = (-5)²+3(-5)-10
P(-5) = 25-15-10
P(-5) = 10-10
P(-5) = 0
This also shows that x+5 is a factor
Which of these is a trinomial?
O A. 2x - 7
O B. 5xy
O c. 2y2 + 7y
O D. 2x3 – 7y3 + 14
Answers
Please answer ASAP will give brainliest!!!!!!!
Answers
Answer: No he is not correct the answer is 6 3/8
Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the
Answer:
No. Total distance = 6 3/8.
Step-by-step explanation:
[tex]2\frac{3}{4}+3\frac{5}{8}=\frac{11}{4}+\frac{29}{8}\\\\[/tex]
[tex]=\frac{11*2}{4*2}+\frac{29}{8}\\\\=\frac{22}{8}+\frac{29}{8}\\\\=\frac{22+29}{8}\\\\=\frac{51}{8}\\\\=6\frac{3}{8}[/tex]
98 POINTS FOR IMMEDIATE HELP. I'VE TRIED JUST THE FIRST TWO AND IT WASN'T CORRECT.
Which of the following characteristics does a rhombus possess that proves the figure to be classified as a quadrilateral and a parallelogram? Select all that apply. two pair of opposite parallel sides two pair of opposite congruent angles consecutive sides are perpendicular perpendicular diagonals four sided figure intersecting diagonals
Answers
Answer:
two pair of opposite parallel sides
two pair of opposite congruent angles
i am sorry if i was wrong but thoes are the only reasonable answers
Answer:two pair of opposite parallel sides two pair of opposite congruent angles
Step-by-step explanation:You also have parallel side
hgfgderwasgtfvuyibhnojpmk[p
Answers
hfgkljaslkgjlkajs;ldkjg
Which points are solutions to the system of inequalities? Select all that apply.
(1, -1)
(0, -2)
(3, -1)
(-3, -2)
(0, 0)
Answers
Answer:
(0,
3) (1, -1)
Step-by-step explanation:
put the numbers in
order
2.6
6.2
2.06
0.62
Answers
Answer:
Put the numbers in
order
2.6
6.2
2.06
0.62
Step-by-step explanation:
Answer:
If your looking for the answers from least to greatest it goes,
0.62, 2.06, 2.6, 6.2
what is 21 + (-21) + (-4)
Answers
Answer:
the answer is -4
Step-by-step explanation:
mark me brainliest
Answer:
-4
Step-by-step explanation:
Canceling out
You calculate the expressions inside the parentheses from left to right and from inner to outer.
Hope this helps!
Brain-List?
Gideon is filling a container with sand. How much sand will fit in the container
Answers
Answer:
418cm³
Step-by-step explanation:
volume of cuboid=l×b×h=11×2×19=418c³
Answer:
418 square centimeters.
Step-by-step explanation:
Since the formula for volume is length times width times height, you would have to multiply 11 (length) times 2 (width) first, and you would get 22. Next, you have to multiply 22 with the height (19). After you do this you will get your final answer which is 418 square centimeters.