There are four primary strategies for determining the area of two-dimensional figures and shapes: a) counting square units, b) subdividing the shape into pieces, finding the areas of the pieces and adding the areas together, c) enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting, and d) using a formula. Explain each strategy. Use an example for each.

Answers

Answer 1

Answer:

Given below

Step-by-step explanation:

a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.

b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.

Area of 1 box = 3*3.5= 10.5

c) The area of the outer rectangle = 8*12= 96 square units.

The area between the two rectangles along the breadth = 3*7= 21 of one side.

The area between the two sides along the length = 6*1= 6 square units.

Subtracting 21+21+6+6= 54 from 96 gives 42 square units

d) Area= length *breadth

= 6* 7= 42 square units.

Hence by all four methods the total area remains the same.

There Are Four Primary Strategies For Determining The Area Of Two-dimensional Figures And Shapes: A)

Related Questions

4 x 2/3 is less than 2/3 , since 2/3 is less than 1 is true or false ?

Answers

Answer = FALSE because

4×2/3 = 4

it less than 2/3 since 2/3 = 0

so answer will be false

the answer is false because 2/3 x 4 is 8/3 which is more than 2/3

A tray holds 36 eggs.How many trays are needed to hold 845 eggs.

Answers

Answer:

I'm sorry if i'm wrong but I think it's somewhere between 23 or 25

(maybe 24)

Answer:

24 trays

Step-by-step explanation:

845 devided by 36 is 23 with a remainder of 2 so you will need an extra tray to fill all of them.

A set of nine books is arranged in orderly fashion on a Shelf. Each book has 100 pages that is sheets of paper with printing on both sides making 900 pages in all. A work starting on the first page of the book eats through to the last page of the last book how many pages does the worm eat

Answers

Answer:

1( first page of volume 1) + 900 (900 book of 100 pages) + 1 (last page of the book)

Bob bought 24 hockey tickets for 83$

Answers

Answer:

i think the answer is $3.45

Step-by-step explanation:

just had to divide the two numbers

You are saving money to buy a new video game. You already have $12, and each week you save another $5. Which expression can you use to represent the money you have after 'w' weeks?

Answers

Answer:yes 12 +5

Step-by-step explanation:Idrk

Answer:

12 + 5

Step-by-step explanation:

A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?

Answers

your answer is at least 135

135 because you do 15*9 witch equals 135

b. -2 + 3x = -(x + 6)
Solve for x

Answers

Answer: x = -1

Work:

-(x + 6)
-x - 6

-2 + 3x = -x - 6

Put x to one side of the equation. This one will be on the left side. Add x to do so.

-2 + 4x = -6

Isolate x by adding 2.

4x = -4

Divide by 4 to isolate x for the final time.

x = -1

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.

116.8 115.7 114.9 115.4 115.9

Required:
a. Calculate the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).

Answers

Answer:

a) The deviations from the mean

|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |

The variance of the sample S² = 0.493

The standard deviation of the sample S =√0.493 = 0.7021

Step-by-step explanation:

Step(i):-

Given that the sample observations

x : 116.8 115.7 114.9 115.4 115.9

Mean of the sample

= ∑ x/n

Mean of sample x⁻ = [tex]\frac{116.8+115.7+114.9+115.4+115.9}{5}[/tex]

Mean of sample x⁻ = 115.74

Step(ii):-

The deviations from the mean

|x-x⁻| : 116.8-115.74 115.7-115.74 114.9-115.74 115.4-115.74 115.9-115.74

|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |

|x-x⁻||²: 1.1236 0.0016 0.7056 0.1156 0.0256

The variance of the given sample observations

S² = ∑ (x-x⁻)² / n-1

[tex]S^{2} = \frac{1.1236+0.0016+0.7056+0.1156+0.0256}{5-1} = 0.493[/tex]

The variance of the sample S² = 0.493

The standard deviation of the sample S =√0.493 = 0.7021

Round The Following Number: 194,332.125

Answers

Answer:

The answer is 194000

Step-by-step explanation:

It is closer to 194000 than 195000

complete inequality for a graph

Answers

What graph? What do you mean i mean where who?

Luis wants to buy a skateboard that usually sells for $79.08. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.75%. Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

$74.96

Step-by-step explanation:

$79.80 × 0.12 = 9.576 (discount)

$79.80 - $9.576 = $70.224

$70.224 × 0.0675 = 4.74012 (add for sales tax)

$70.224 + $4.74012 = $74.96412

please tell fast plzzzzzz

Answers

Answer:

72 degrees

Step-by-step explanation:

let the ratio be 2x and 3x

2x + 3x =180° ( co interior angles )

5x = 180°

x = 180 ÷ 5

x = 36°

And the smaller angle = 2 × 36° = 72°

Rowan and Brody are both solving the equation 4x=12. Rowan is not sure what to do because he does not know a power of 4 that equals 12. Brody uses his calculator to graph y=4xand y=12 and find the point of intersection. Will Brody’s method work?

Answers

Answer:

Yes, the graph intersects around (1.7925,12), so 1.7925 is a good estimate of the solution to 4x=12.

(1st one in TTM)

Answer:

Step-by-step explanation:

it was right

What is the opposite of 56?What is the value of –(-4)?

Answers

Answer:

-56;+4

Step-by-step explanation:

56 oopposite is -56

-(-4)=+4

can someone pls help me on this

Answers

Answer:

Example:

Just multiply them.

Answer:

If you multiply them all together it equals 48 degrees

Solve the inequality:
15 ≤ 3 − 2x

Answers

Divide both sides by 2

2.2 Subtract 6 from both sides

x ≤ -6

2.000 X + 12.000 ≤ 0

Answer: x ≤ -6

6-6-6-6-6-6-6-6--y50-60976-09-7697967-676-796-790696 6x3

some one help me with these questions (totally not starting a meme)

Answers

Answer:

meme also I don't think you can answer that considering that is a hotlogic oven serial number

Step-by-step explanation:

Hello hello hello hello hello hello hello hello

Write an equation of the line that passes through the pair of points.
(-4. - 2). (4.0)

Answers

First find the slope between the 2 points

0--2/4--4

=2/8

=1/4

Then y=1/4 x+b

Now substitute one pair of x and y into the equation

0=1/4*4+b

b=-1

So y=1/4x-1

Done!

Determine if the point (4, -3) is a solution
to the following system:
x - y = 4.
2x + y = 5
Determine if the point (4,-3) is a solution

Answers

Not a solution I believe.

Your school club is selling hotdogs at a basketball game. The supplies cost $120. You charge $2.50 for each hotdog. Write a function you can use for finding the profit y for selling x number of hotdogs.

Answers

-120 + 2.50x

you lose 120 dollars on supplies, and every hotdog you sell you gain 2.50

17. A cereal company fills every box with 48 ounces of cereal. The company allows
each box of cereal to be within a tolerance of 0.5 ounces. What is an expression
for the actual weight of the boxes?

Answers

Answer:

47.5 ≤ 48 ≥ 48.5

Step-by-step explanation:

Answer:

47.5 < x < 48.5

Step-by-step explanation:

A box can have more than 47.5 ounces and less than 48.5 ounces.

47.5 < x < 48.5

1) A number which has more than two
factors is called a
number.
O a) Prime Number
O b) Smallest Number
O c) Composite Number
O d) Biggest Number

Answers

Answer:

C) Composite Number

Step-by-step explanation:

The composite number is one which has more than two factors.

eg:- 4,6,9,12,15 etc......

hope so it helped you

rename 2 6/12 as a mixed number with a fraction greater than 1.

Answers

2 6/12 renamed as 2 1/2

Simplify the expression. 4x - 2(x - 6) - X

Answers

Answer:

Step-by-step explanation:

4x-2(x-6)-x=4x-2x-x+12

=x+12

Answer:

− X − 1.6 x + 12

Question
The specifications for a laptop computer describe its screen as measuring 15.6 in. However, this is actually
the length of a diagonal of the rectangular screen, as represented in the figure. How wide is the screen
horizontally, to the nearest tenth of an inch?

Answers

Answer:

13.6

Step-by-step explanation:

I got it right

20 POINTS!! WILL GIVE BRAINLY!!

how much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exactly 2 inches?

Answers

Answer:

Hello! :) have a good day!

It would take 784 cm³ of solid iron to make the box.

488 cubic inches of metal is required to cast a cube with outer side 10 inches long if the thickness of its walls should be exactly 2 inches

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know the volume of a cuboid is side³.

Given, A cubical metal box with an outer side 10 inches long if the thickness of its walls should be exactly 2 inches.

So, (10 - 2) = 8 inches of the solid cube is hollow.

Therefore, The metal required is a solid cubical box with side of 8 inches subtracted from a solid cubical box with a side of 10 inches which is,

= 10³ - 8³.

= 1000 - 512.

= 488 cubic inches.

learn more about cubes here :

https://brainly.com/question/28134860

#SPJ2

Can somebody help me with this one?

Answers

since BD bisects the angle, both sides are equal

6x=5x+10
subtract 5x from both sides
x = 10

answer: x=10

Write the fraction in lowest terms.
14/37

Answers

Answer:

14/37

Step-by-step explanation:

14/37 is already in the simplest form. It can be written as 0.378378 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 14 and 37 is 1

Divide both the numerator and denominator by the GCD

14 ÷ 1

37 ÷ 1

Reduced fraction:

14/37

Therefore, 14/37 simplified to lowest terms is 14/37.

Find the lateral area of a rectangluar prism with ?

Answers

Answer:

40 Squared units

Step-by-step explanation:

[tex]A=2*2*4+2*2*6=40[/tex]

HELP!! Will mark brainliest!! Which of the following will have a remainder of 8 when divided by (x + 1)?

Answers

Answer:

Step by step explanation

Use synthetic division to solve. Final ending answer is [tex]3x^{2} +4x-9+\frac{8}{(x+1)}[/tex]

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