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

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.

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

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)

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]

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

Answers

Answer = FALSE because

Answer:

Step-by-step explanation:

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

=x+12

Answer:

− X − 1.6 x + 12

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

can someone pls help me on this

Answers

Answer:

Example:

Just multiply them.

Answer:

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

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:

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

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

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

complete inequality for a graph

Answers

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

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

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

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°

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

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.

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

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

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