The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle

Solution:

Let the width of the rectangle be x cm.

Then the length of the rectangle be 2x cm.

Hence the perimeter of the rectangle be 2 (x + 2x)

A/Q

2 (x + 2x) = 180

6x = 180

x = 180/6

x = 30

Hence, 2x = 60

Thus, the length and width of the rectangle are 60 cm and 30 cm respectively.

✦ Try This: The length of a rectangle is two times its width. The perimeter of the rectangle is 120 cm. Find the dimensions of the rectangle.

Let the width of the rectangle be x cm.

Then the length of the rectangle be 2x cm.

Hence the perimeter of the rectangle be 2 (x + 2x)

A/Q

2 (x + 2x) = 120

6x = 120

x = 120/6

x = 20

Hence, 2x = 40

Thus, the length and width of the rectangle are 40 cm and 20 cm respectively.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 4

NCERT Exemplar Class 7 Maths Chapter 4 Problem 99

The length of a rectangle is two times its width. The perimeter of the rectangle is 180 cm. Find the dimensions of the rectangle

Summary:

Thus, the length and width of the rectangle are 60 cm and 30 cm respectively

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