Perimeter and area of 2D shapes (Area and its Boundary) | Chapter Assessment | English | Grade 5

The area of a square is equal to ______.

• 4 x side

• 2 x side

• side x side

• length + width

Answer explanation

The area of a square = side x side

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of this figure?

• The distance between A and C

• The length of its boundary

• The space inside the figure

• Length x Perimeter

Answer explanation

The space inside the figure is called area of the figure.

The perimeter of a square shaped garden is 36 m. What is its area?

• 81 square metres

• 72 square metres

• 36 square metres

• 18 square metres

Answer explanation

Perimeter of square shaped garden = 36 m We know that the perimeter of a square = 4 x length of one side So, 36 m = 4 x length of one side Length of one side = 36 ÷ 4 = 9 m Area of a square = side x side So area of the square shaped garden = 9 m x 9 m = 81 square metres.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Amita uses a 250 cm long piece of ribbon to make a border for a rectangular dupatta. If the length of the dupatta measures 90 cm, what is the width of the dupatta?

• 70 cm

• 160 cm

• 35 cm

• 80 cm

Answer explanation

Since a 250 cm long ribbon is used to make a border for the dupatta, the perimeter of the dupatta is 250 cm. Perimeter of a rectangle = length + width + length + width So, 250 cm = 90 cm + width + 90 cm + width 250 cm = 180 + 2 × width 250 cm - 180 cm = 2 x width 70 cm = 2 x width So width = 70 ÷ 2 = 35 cm

Tags

CCSS.3.MD.D.8

The length of a rectangular photograph is 14 cm and its area is 140 square cm. Find the width and the perimeter of the photograph.

• Width = 10 cm Perimeter = 48 cm

• Width = 10 cm Perimeter = 48 square cm

• Width = 48 cm Perimeter = 10 cm

• Width = 48 cm Perimeter = 10 square cm

Answer explanation

Length of the rectangular photograph is 14 cm. Area of the photograph = 140 square cm Area of photograph = length × width Or, 140 = 14 × width So, width = 140 ÷ 14 = 10 cm Perimeter of the photograph = length + width + length + width = 14 + 10 + 14 + 10 = 48 cm The width of the photograph is 10 cm, and the perimeter is 48 cm.

Tags

CCSS.4.MD.A.3

Mahira took 2 rounds of a rectangular park. The park had a length of 30 m and a width of 20 m. What distance did Mahira run?

• 600 m

• 1200 m

• 100 m

• 200 m

Answer explanation

The distance covered in running 1 round of the park = the perimeter of the park. Perimeter of park = 30 + 20 + 30 + 20 = 100 m Since Mahira took 2 rounds, the distance she ran = 2 × perimeter of park = 2 × 100 = 200 m

Tags

CCSS.4.MD.A.2

My rectangular room is 6 m long and 11 m wide. How much carpeting is needed to cover the entire floor?

• 17 square m

• 34 square m

• 33 square m

• 66 square m

Answer explanation

To find how much carpeting is needed, we must find the area of the room. Area of rectangular room = length × width = 6 × 11 = 66 square m Hence 66 square m of carpeting is needed to cover the entire room.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

ACTIVITY: 1. Collect 16 matchsticks. 1. Make a rectangle using them - with it length 5 matchsticks long and its width 3 matchsticks long. 2. Draw it in your notebook. 3. If the length of each matchstick is 3 cm, what is the area of the rectangle formed? Choose 'yes' after completing this activity.

• Yes

• No

Answer explanation

The length of the rectangle is 5 matchsticks, and its width is 3 matchsticks. If each matchstick is 3 cm long, this means that - Length of the rectangle = 5 matchsticks x 3 cm = 15 cm Width of the rectangle = 3 matchsticks x 3 cm = 9 cm So area of the rectangle made of 15 matchsticks = 15 × 9 = 135 square cm

Tags

CCSS.3.MD.D.8