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

The perimeter of a rectangle is equal to _______.

• 4 x length of one side

• 2 x length of one side

• 2 x length of rectangle + 2 x width of rectangle

• length of rectangle + width of rectangle

Answer explanation

The perimeter of a 2D shape is the length of its boundary. The boundary of a rectangle is made up of 4 sides - where opposite sides are equal in length. So, The perimeter of a rectangle = length + width + length + width = 2 x length + 2 x width Hence option 3 is the right answer.

Tags

CCSS.4.MD.A.3

What is the perimeter of the following figure?

• 24 m

• 22 m

• 20 m

• 18 m

Answer explanation

In the given figure the lengths of the sides of the triangle are: 7 m, 7 m and 8 m So, the perimeter of the triangle = 7 m + 7 m + 8 m = 22 m

Tags

CCSS.3.MD.D.8

The perimeter of a square-shaped field is 24 metres. What is the length of one side of the field?

• 12 m

• 10 m

• 6 m

• 3 m

Answer explanation

The perimeter of the square-shaped field = 24 m Perimeter of square = 4 x length of one side So, 24 metres = 4 x length of one side That is, Length of one side = 24 ÷ 4 m = 6 m Hence, the length of one side of a square shaped field is 6 m.

Tags

CCSS.4.MD.A.3

Rahul and Rohan have two identical wires that are each 36 metres long. Rahul bent his wire into a square. Rohan bent his wire into a rectangle. Which of the following statements is correct?

• The perimeter of the square is greater than the perimeter of the rectangle.

• The perimeter of the square is less than the perimeter of the rectangle.

• The perimeter of the square is equal to the perimeter of the rectangle.

• None of the above

Answer explanation

The length of both wires is 36 m. One wire is bent to form a square, while the other wire is bent to form a rectangle. While bending, the length of both wires is not changed. Therefore the perimeter of the square and the rectangle is equal.

Tags

CCSS.3.MD.D.8

Sneha wants to stitch a ribbon along the boundary of a curtain. She has 28 metres of ribbon. Which of the following curtains should she select so that the whole boundary of the curtain can be exactly covered by the length of ribbon she has? (Note: No ribbon should be left over after she stitches the border.)

• 
• 
• 
• 

Answer explanation

Sneha has 28 metres of ribbon. So she should select that curtain whose perimeter is exactly 28 metres. Perimeter of the curtain in option 4 = 6 m + 8 m + 6 m + 8 m = 28 m The perimeter of all 3 other curtains is either greater or less than 28 metres. So option 4 is correct.

Tags

CCSS.4.MD.A.3

Mayank has a painting whose length is 3 times its width. The width of the painting is 60 cm. What is the length of the wooden strip required to frame the painting?

• 480 cm

• 180 cm

• 240 cm

• 720 cm

Answer explanation

The width of the rectangular frame = 60 cm The length is 3 times the width. That is, length = 3 x width = 3 x 60 cm = 180 cm So the perimeter of the rectangular frame = (2 x 180 cm) + (2 x 60 cm) = 360 cm + 120 cm = 480 cm So 480 cm of wooden strip will be needed to frame the painting.

Tags

CCSS.3.MD.D.8

The length of a rectangular garden is 7 m and its width is 5 m. Ramesh wants to put a fence around the garden. If the cost of 1 metre of fence is Rs. 10, what will be the cost of a fence around the whole garden?

• Rs. 240

• Rs. 120

• Rs. 24

• Rs. 20

Answer explanation

The length of the garden = 7 m and the width of the garden = 5 m So, The perimeter of the garden = (7 + 5 + 7 + 5) metres = 24 metres The cost of 1 metre of fence = Rs. 10 Therefore, the cost of 24 metres of fence = 24 x 10 = Rs. 240 The cost of putting a fence around the garden is Rs. 240

Tags

CCSS.4.MD.A.2