The perimeter of a rectangle is 40 m. Its length is four metres less than five times its breadth. Find the area of the rectangle.

Solution:

Given, the perimeter of a rectangle is 40 m.

The length of the rectangle is four metres less than five times its breadth.

We have to find the area of the rectangle.

Let the breadth of the rectangle be x

Given, length = 5x - 4

Perimeter of rectangle = 2(length + breadth)

= 2(5x - 4 + x)

= 2(6x - 4)

= 12x - 8

Given, perimeter = 40 m

12x - 8 = 40

12x = 40 + 8

x = 48/12

x = 4 m

Length = 5(4) - 4

= 20 - 4

= 16 m

Area of rectangle = length × breadth

= 16 × 4

= 64 m²

Therefore, the area of the rectangle is 64 m².

✦ Try This: The perimeter of a rectangle is 20 m. Its length is six metres less than two times its breadth. Find the area of the rectangle.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11

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NCERT Exemplar Class 7 Maths Chapter 9 Problem 75

The perimeter of a rectangle is 40 m. Its length is four metres less than five times its breadth. Find the area of the rectangle.

Summary:

The perimeter of a rectangle is 40 m. Its length is four metres less than five times its breadth. The area of the rectangle is 64 m²

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