# The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle

**Solution:**

Let the breadth of the rectangle be x m.

Then the length of the rectangle be (5x - 4) m.

Hence the perimeter of the rectangle is 2 [x + (5x - 4)] m.

A/Q

2 [x + (5x - 4)] = 40

6x - 4 = 40/2

6x = 20 + 4

x = 24/6

x = 4

Hence, (5x - 4) = 16

Thus, the length of the rectangle is 16 m.

**✦ Try This:** The perimeter of a rectangle is 52 m. The length of the rectangle is 5 m less than twice its breadth. Find the length of the rectangle.

Let the breadth of the rectangle be x m.

Then the length of the rectangle be (2x - 5) m.

Hence the perimeter of the rectangle be 2 [x + (2x - 5)] m.

A/Q

2 [x + (2x - 5)] = 52

6x - 10 = 52/2

6x = 26 + 10

x = 36/6

x = 6

Hence, (2x - 5) = 7

Thus, the length of the rectangle is 7 m.

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

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 87**

## The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle

**Summary:**

If the perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth, then the length of the rectangle is 16 m

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