All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 13 Review will give you a clear idea of the concepts.

Vocabulary Check

Use the word bank to complete each sentence.

area
perimeter
square units
unit square

Question 1.
The distance around a figure is the ______________.
Answer: Perimeter is the distance around a figure.

Question 2.
_____________ is the number of square units needed to cover a region or figure without any overlap.
Answer: Area is the number of square units needed to cover a region or figure without any overlap.

Question 3.
Area is measured in _____________.
Answer: Area is measured in Square units.

Question 4.
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.

Concept Check

Look at the tennis court below. Find the perimeter and area. Question 5.
Perimeter = ______________

Explanation: Given the rectangle tennis court length is 27 ft and the width is 78ft.
Now, find the perimeter of a rectangle.
The formula for the perimeter of a rectangle is, 2(l+w)
Perimeter  = 2(27+78)
P = 210 ft.

Question 6.
Area = _______________

Explanation: Given that, the rectangle tennis court’s length is 27 ft and the width is 78 ft.
We will find the area of a rectangle.
The formula for the Area of a rectangle is, l x b
A = 27 ft x 78 ft = 2106 sq.ft

Find each perimeter.

Question 7. P = _______________

Explanation: Given the rectangle figure.
The length and width of the rectangle are 3 cm and 15 cm.
Now, find the perimeter of a rectangle.
The formula for the perimeter of a rectangle is, 2(l+w)
Perimeter = 2(3+15) = 2(18) = 36 cm.

Question 8. P = _______________

Explanation: Given the square figure, the side of a square is 6 yd.
We will find the area of a square.
The formula for the area of a square is 4 x side.
So, the area is 4 x 6 = 24 sq.ft

Question 9. P = _______________

Explanation: Given the rectangle with length and width.
The length is 8 inches and the width is 12 inches.
We will find the perimeter of a rectangle.
The perimeter of a rectangle formula is 2(l+w)
Perimeter = 2(12+8) = 2(20) = 40 inches.

Question 10. P = _______________

Explanation: Given the square figure,
The side of a square is 3 cm. Square has equal sides.
We will find the perimeter of a square.
The perimeter of a square formula is 4 x side.
Perimeter = 4 x 3 = 12 cm.

Find the area of each square or rectangle.

Question 11. A = _______________

Explanation: Given that, the rectangle figure.
The consists of 3 units in length and the width is 6 units.
Find the area of a rectangle.
The formula for the area of a rectangle is, l x w
A= 3 x 6 = 18 sq.units.

Question 12. A = _______________

Explanation: Given the figure,
The length of a rectangle is 10ft and the width of a rectangle is 30ft.
Now, find the area of a rectangle.
The area of a rectangle formula is, l x w
A= 10 ft x 30 ft= 300 sq.ft.

Question 13. A = _______________

Explanation: Given the square figure, with a side of 12 cm.
We will find the area of a square.
The area of a square formula is, 4 x side
A= 4 cm x 12 cm = 144 sq.cm

Question 14. A = _______________

Explanation: Given that, a rectangle figure.
The length of a rectangle is 7m and the width is 4m.
Now, find the area of a rectangle.
The formula for the area of a rectangle is, l x w
A= 7 m x 4 m= 28 sq. m

Question 15.
Find the perimeter and area of the rectangle. Perimeter: _______________
Area: _______________
Answer: Perimeter of a rectangle is 34 units.
The area of the rectangle is  16 sq. units.

Explanation: Given the figure,
The length is 1 unit and the width is 16 units.
We will find the area and perimeter of a rectangle.
The perimeter of a rectangle formula is 2(l+w) = 2(1+17) = 34 units.
Now find the area of a rectangle.
The formula for the area of a rectangle is l x w.
A = 1 x 16 = 16 sq.units

Problem Solving

Question 16.
Rodolfo’s ping pong table has an area of 45 square feet. The length is 9 feet. What is the perimeter of the ping pong table? Answer: The perimeter of the ping pong table is 28 ft.

Explanation: Given that the area is 45 sq. ft.
The length is 9 ft.
The ping pong table is in rectangular shape.
The area of a rectangle formula is l x w.
A = 45 sq.ft
Now, we will find the width.
A = 9 x 5 = 45 sq.ft.
Multiply 9 with 5 we get the given area value.
We will find the perimeter of the ping pong table.
The formula for the perimeter of the rectangle ping pong table is, 2(l+w)
P = 2(9+5) = 2(14) = 28 ft.

Question 17.
Mr. Lobo is building a fence around his rectangular yard. It is 16 feet long and 14 feet wide. How many feet of fencing will he need?
Answer: 60 ft of fencing will be needed.

Explanation: Given the building fence length is 16ft and the width is 14 ft.
Now, we will find the perimeter of the rectangular yard, we get the needed fencing feet.
So, the formula for the perimeter of a rectangular yard is, 2(l+w)
P = 2(16+14)
P = 2(30) = 60 ft.

Question 18.
Brett painted 3 walls. Each wall was 9 feet tall and 12 feet long. How much wall area did he paint?
Answer: Brette painted108 square ft area.

Explanation: Given that, Brett pained 3 walls.
The length and width of each wall are 9 ft and 12 ft.
We will find the area of a wall.
Based on the given measurements. The wall will be in rectangular shape.
So, the formula for the area of a rectangular wall is, l x w
A = 9 ft x 12 ft
A = 108 square ft.

Question 19.
Is there a relationship between the area and the perimeter of a rectangle? Explain.
Answer: There is no relationship between the area and the perimeter of a rectangle. Because both the units are different. Perimeter measured outer boundary region whereas area measured inside the region of the shape.

Test Practice

Question 20.
Heidi ran two laps around the city block shown. How many feet did she run? (A) 660 ft
(B) 880 ft
(C) 1,320 ft
(D) 2,640 ft

Explanation: Given that, Heidi ran two laps around the city block.
The length is 220ft and the width is 440ft.
The city block is rectangular in shape.
We will find the perimeter of a rectangle block.
The formula for the perimeter of a rectangle block is 2(l +w)
P = 2(220+440) = 2(660) = 1320ft.
So, option C is correct.

Reflect

Use what you learned about perimeter and area to complete the graphic organizer.

ESSENTIAL QUESTION
Why is it important to measure perimeter and area?  