Mathematics High School

The opposite sides of a rectangle are (2x-1)cm and (x+3)cm . if it has a perimeter of 28 cm , find the area of the rectangle​

Answers

Answer 1

Answer:  49 square cm

======================================================

For any rectangle, the opposite sides are the same length.

Set the given expressions equal to x and solve to get

2x-1 = x+3

2x-x = 3+1

x = 4

So each opposite side is:

2x-1 = 2*4-1 = 8-1 = 7x+3 = 4+3 = 7

Each side being the same length (7) confirms we have the correct x value.

------------

Let's say L = 7 is the length and W is the unknown width.

We'll use the perimeter of a rectangle formula given below with P = 28 as the given perimeter. Solve for W.

P = 2*(L+W)

28 = 2*(7+W)

28/2 = 7+W

14 = 7+W

7+W = 14

W = 14-7

W = 7

-------------

The rectangle has a length of L = 7 and width of W = 7, so its area is

A = L*W

A = 7*7

A = 49 square cm

Because we have the length and width as the same value, this rectangle is also a square.

Related Questions

Sylvia wants to rent a kayak. Company A charges $20 plus $6 per hour. Company B charges $8 plus $12 per
hour.
At how many hours will the price to rent a kayak from Company A and Company B be the same?
Be precise in your answer (label your answer).

Answers

Answer:

It will take 2 hours til they are the same.

Step-by-step explanation:

$20     $6     6+20=26  12+8=20

$12+$20=$32     $12+12+$8=$32

so 2 hours is your answer

I need help 5th grade​

Answers

6 5/6 just subtract 2 from the whole (8)

Answer:

C.

Step-by-step explanation:

8 5/6 -2 = 6 5/6 BECAUSE YOU ARE JUST SUBTRACTING 2 WHOLES NOT AND FRACTIONS. IT GIVES YOU THE NASWE C. 6 5/6

A plastic storage bin is shaped like a rectangular prism. The height of the bin is 9 inches. The bottom of the bin has an area of 180 square inches. What is the volume of the storage bin? Enter your answer in the box. in³

Answers

Answer:

1620in³

Step-by-step explanation:

Volume of a rectangular prism = BH

B is the Base area

H is the height of the prism.

Given

B = 180in²

H = 9in

get the volume of the prism

Volume of the prism  = 180 * 9

Volume of the prism  = 1620in³

Hence the volume of the rectangular prism is 1620in³

An artist has completed 1/4 of a painting in 2 weeks. At what rate is she working?.

Answers

Answer:

1/8

Step-by-step explanation:

1/4 of a painting in 2 weeks would be 1/8 painting for 1 week

He’s working at a slow rate

What is 77 divided by 1000

Answers

Answer:

0.077

Step-by-step explanation:

probably already answered but still

−7(−4p+1)+2p. ...................

Answers

Answer:

30p - 7............................

Step-by-step explanation:

Yay

Answer for BRAINLIEST

Answers

Answer:

From top to bottom: 1/8, 2 1/2, 3

Step-by-step explanation:

The first number means that it take 8 quarters to equal a toonie and you don't have a toonie with 1 quater

brainliest please

1/8, 2 1/2, 3 is the answer

I need to pass so yk help​

Answers

Answer:

(2)

Step-by-step explanation:

-3,2

-1,-1

[tex]y = ax + b \\ 2 = - 3a + b \\ - 1 = - a + b \\ 3 = - 2a \\ a = - 1.5[/tex]

slope is -1.5

HELP PLEASE ASAP!!!

Answers

Answer:

D.

Step-by-step explanation:

5/5 + 2/5 = 7/5

7/5 = 1 2/5

1 2/5 = 1.4

D is at 1.4 on the number line.

True or False?
4/5 x 3 = 12/15

quick i leave school soon

Answers

it is true because 4*3=12 and 5*3=15

What is another name for ray QR?

Answers

Answer:

ray NQ

ray NR

ray NS

ray QS

ray RS

Step-by-step explanation:

u can write ray QR in all these ways and it means the same thing

pls give brainliest

Answer:

Segment RQ ?

OR Line RQ?

Step-by-step explanation:

plz help third time putting this

Answers

LD= 8.9 ! hope this helps and i would rlly appreciate brainliest!!!

The roof at a tennis stadium opens 421 inches in 50 seconds.
How many inches does the roof open per second?
A.) 0.12
B.) 8.42
C.) 371.0
D.) 471.0
Plz answer this QUICKKKKKK I need this answer really badly.

Answers

B 8.42



That’s the answer

Answer:371.0

Step-by-step explanation:

371.0

If you help I’ll mark as brainless

Answers

Answer:

A

Step-by-step explanation:

4.8

People of different ages were asked the question "Do you listen to audiobooks?" The frequency table displays the
percentage of "yes" responses for different age groups
13-17
8%
18-25
15%
26-35
23%
36-45
45%
46 and over
48%
Would it be appropriate to display the data with a pie chart?
O Yes, because the data are grouped into categories
O Yes, because the data can be displayed by a relative frequency compared with the whole
O No, because the data display the percentage of time spent by each age group, not a relative frequency compared
with the whole
O No, because the data categories are too broad
Save and Exit
Next
Submit
art this and rem

Answers

Answer:

The answer is B

Step-by-step explanation:

Considering that the data displays the percentage of time spent by each age group, not a relative frequency compared to the whole, a pie chart would not be appropriate, hence the third option is correct.

Pie charts are used to indicate relative frequency of each group, when the whole combines to 100%.In this problem, the sum of the percentages is not 100%, hence, it does not indicate relative frequency, and the third option is correct.

You can learn more about pie charts at https://brainly.com/question/25796636

There are 20 Boys on the Alden Middle school soccer team,40% also play on a travel team.How many of the boys on the middle school team also play on a travel team?

Answers

Answer:

4/10

Step-by-step explanation:

take it or leave it

2x + y + 2x - 5 - y
combining like terms with the distributive property
(I NEED HELP PLEASE )
​

Answers

Answer:

7' hopes that it is not feeling to well this morning

Simplify 3n+2(-2n-1)

Answers

Answer:

-n-2

Step-by-step explanation:

A crate of oranges costs $4 more than a bag of apples. Ike paid $52 for 3 crates of oranges and 5 bags of apples. How much does one bag of apples cost?

A. $4
B. $5
C. $6
D. $7

Answers

Letter B is correct it’s the main sores of the place

Answer:

B.5

Step-by-step explanation:

o = orange crates and a = apple bags

$52 = 3o + 5a

sub in $5 for a and 5+4 for o

$52 = 3($5+$4) + 5($5)

$52 = $27 + $25

$52 = $52

is it a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:

y is directly proportional to (x-1)2.
When x = 3, y = 24.
Find y when x = 6.

Answers

Answer:

y = 150

Step-by-step explanation:

Proportions

It's given y is directly proportional to the square of x-1. It can be expressed as:

[tex]y=k(x-1)^2[/tex]

Where k is the constant of proportionality. We know y=24 when x=3. Substituting:

[tex]24=k(3-1)^2[/tex]

[tex]24=k(2)^2=4k[/tex]

Solving for k:

k = 24/4 = 6

Thus, the equation is:

[tex]y=6(x-1)^2[/tex]

When x=6:

[tex]y=6(6-1)^2=6(5)^2=6*25[/tex]

y = 150

Solve the polynomial equation. x^3+4x^2-19x-6=0

Answers

Answer:

x=3 or x=−0.29843788128357573 or x=−6.701562118716424

Step-by-step explanation:

i think your best bet would be x=3

Find the sum of (2x-2)+(3x-4)

I Need a quick answer please.

Answers

Answer:

-16

Step-by-step explanation:

-4 + (-12)

Complete the sentence to describe the triangle shown.
part 1
A) an acute triangle
B) an obtuse triangle
C) a right angle
————————————
part 2
A) an equilateral triangle
B) an isosceles triangle
C) a scalene triangle

Answers

Answer:

B) obtuse and B) isosceles

Step-by-step explanation:

obtuse - theres an angle greater than 90 degrees

isosclese - two sides of equal length

Somebody help me ASAP due in 12 minutes

Answers

I believe the answer is -1/2

Write each power as a product of the same factor. Then find the value.

2.5^3

A) 2.5 x 2.5; 6.25
B) 2.5 x 2.5 x 2.5; 15.625
C) 2.5 x 3; 7.5
D) 2.5 x 2.5 x 2.5 x 2.5; 30.0625

Answers

Answer:

its answer is option b 15.625

PLEASE PLEASE I NEED HELP

Answers

1. 26
2. 42
(Sorry if I’m off I’m going off of 2 hours of sleep lol)

Answer:

1. 20

2. 34

Step-by-step explanation:

What is the equation of a line with a slope of 2 and a y-intercept of -5?​

Answers

y=2x-5. because slope is m, so in y=mx+b, it would go in the first slot. b represents your y-intercept, which is -5.

The options are
A. 7/3x4/5
B. 7/3x5/4
C. 3/7x4/5
D.3/7x5/4

Answers

it’s d sorry if i’m wrong

What does C equal? C/66 = 8/11

Answers

Answer:

c =48

Step-by-step explanation:

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