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

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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 1
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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 2
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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 3
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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 4
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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 5
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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 6

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?
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 7
(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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 8
Answer:
McGraw-Hill-My-Math-Grade-3-Chapter-13-Check-My-Progress-Answer-Key-8

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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 9
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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 10
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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 11
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.
McGraw Hill My Math Grade 3 Chapter 13 Check My Progress Answer Key 12

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.

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