All the solutions provided in **McGraw Hill My Math Grade 3 Answer Key PDF Chapter 13 Check My Progress **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key

**Check My Progress Page No. (777 – 778)**

**Vocabulary Check**

**Fill in the correct word(s) that completes the sentence.**

area

perimeter

square unit

unit square

Question 1.

The distance around a figure is its _______________.

Answer: The distance around a figure is its **perimeter**.

Question 2.

A square with a side length of one unit is called a ______________.

Answer: A square with a side length of one unit is called a **unit square**

Question 3.

______________ is measured in square units and represents the number of those needed to cover a figure without overlapping.

Answer: **area** is measured in square units and represents the number of those needed to cover a figure without overlapping.

**Concept Check**

**Estimate the perimeter of each figure in centimeters. Then measure the perimeter to the nearest centimeter.**

Question 4.

Estimate: _______________

Actual: ______________

Answer:

L = 2 cm

W = 5 cm

Perimeter of the rectangl = 2(L + W)

P = 2(2 + 5)

P = 2 × 10

P = 20 cm

So, estimated perimeter is 20 cm.

Actual perimeter is 20 cm.

Question 5.

Estimate: _______________

Actual: ______________

Answer:

a = 3 cm

b = c = 4

Perimeter of the triangle = 3 + 4 + 4 = 11 cm

So, estimated perimeter is 11 cm.

Actual perimeter is 11 cm

**Find the perimeter and area of each figure.**

Question 6.

The perimeter is ______________ units.

The area is ______________ square units.

Answer:

s = 4 units

perimeter of a square = 4s

P = 4 × 4 = 16 units

Area of the square = s × s

A = 4 × 4 = 16 sq. units

Question 7.

The perimeter is ______________ units.

The area is ______________ square units.

Answer:

s = 2 units

perimeter of a square = 4s

P = 4 × 2 = 8 units

Area of the square = s × s

A = 2 × 2 = 4 sq. units

Area of the rectangle = 2 × 1 = 2 sq. units

Perimeter of the rectangle = 2(2 + 1) = 2 × 3 = 6

P = 8 + 6 + 6 + 6 + 6 = 32 units

A = 4 + 2 + 2 + 2 + 2 = 12 sq. units

The perimeter is 32 units.

The area is 6 square units.

Question 8.

Algebra Find the unknown side length if 34 in. the perimeter is 89 inches.

Answer:

P = a + b + c + d

89 = 34 + 20 + 20 + x

x = 89 – 74

x = 15 inch.

**Problem Solving**

**Refer to the drawing at the right for Exercises 9 and 10.**

Question 9.

Jeremy will help his father build a patio. The drawing represents the patio. What is the area of the patio in square units?

Answer:

A = 14 sq. units

Question 10.

If each square unit represents 3 square feet, what is the area of the patio in square feet? Use repeated addition.

Answer: 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 42 sq. units

**Test Practice**

Question 11.

Each square unit on the figure represents one square meter. What is the area, in square meters, of the figure?

(A) 3 square meters

(B) 6 square meters

(C) 12 square meters

(D) 24 square meters

Answer:

L = 3

W = 4

Area of the rectangle = 3 × 4 = 12 sq. units

Option C is correct.

**Check My Progress Page No. (803 – 804)**

**Vocabulary Check**

Question 1.

Circle the figure that represents a composite figure. Explain why the other figures are not composite figures.

Answer:

Question 2.

Circle the formula that can be used to find the area of a rectangle.

A = l + w

A = l – w

A = l × w

Answer:

The formula used to find the area of a rectangle is A = l × w

**Concept Check**

For Exercises 3 and 4, refer to the rectangle shown.

Question 3.

Tile the rectangle to find its area. Draw unit squares on the rectangle.

The area is _____________ square units.

Answer:

L = 4

W = 6

Area of the rectangle = lw

A = 4 × 6 = 24 sq. units

The area is 24 square units.

Question 4.

Algebra Write a multiplication equation that can be used to find the area of the rectangle without tiling it.

Answer:

Area of the rectangle = lw

A = l × w

Question 5.

Algebra Find the area of the rectangle. Write a multiplication equation.

Answer:

L = 9 cm

W = 2 cm

Area of the rectangle = lw

A = 9 × 2 = 18 sq. cm

The area is 18 square cm.

Question 6.

Find the area of the rectangle. Use the Distributive Property to decompose the longer side. Show your steps.

The area is ______________ square meters.

Answer:

L = 8m

W = 12m

Area of the rectangle = lw

A = 8 × 12 = 96 sq. m

The area is 96 square meters

**Problem Solving**

Refer to the drawing at the right for Exercises 7 and 8.

Question 7.

Seth painted the figure at the right on his wall. How many square inches of paint did he use?

Answer:

Figure 1:

L = 9 in

W = 3 in

Area = 9 × 3 = 27 sq. in.

Figure 2:

s = 3 in.

Area = 3 × 3 = 9 sq. in

Area = 27 + 9 = 36 sq. in.

Question 8.

Refer to Exercise 8. Decompose the composite figure in a different way to find its area. Show your steps.

Answer:

Figure 1:

L = 9 in

W = 3 in

Area = 9 × 3 = 27 sq. in.

Figure 2:

s = 3 in.

Area = 3 × 3 = 9 sq. in

Area = 27 + 9 = 36 sq. in.

**Test Practice**

Question 9.

Which equation can be used to find the area, in square feet, of a rectangle with a length of 8 feet and a width of 4 feet?

(A) 8 + 4 = 12

(B) 8 – 4 = 4

(C) 8 × 4 = 32

(D) 8 ÷ 4 = 2

Answer:

Given,

length = 8 ft

width = 4 ft

Area of the rectangle = 8 × 4 = 32 sq. ft

Option C is the correct answer.