# The length of a rectangle is two times its breadth. Its perimeter is 60 cm

(a) If the breadth of rectangle is x cm, the length of the rectangle is _____

(b) Perimeter in terms of x is _____

(c) The equation formed is _____

(d) The solution of the equation is _____

**Solution:**

Let breadth of the rectangle be x cm and length of the rectangle would be 2x cm

Then the perimeter of the rectangle be 2(2x + x) i.e., 6x

A/Q,

6x = 60

x = 60/6

x = 10

Hence 2x = 20

Thus,

(a) If the breadth of rectangle is x cm, the length of the rectangle is 2x.

(b) Perimeter in terms of x is 6x.

(c) The equation formed is 6x = 60.

(d) The solution of the equation is 10.

**✦ Try This:** The length of a rectangle is two times its breadth. Its perimeter is 90 cm. (a) If the breadth of rectangle is x cm, the length of the rectangle is _____, (b) Perimeter in terms of x is _____, (c) The equation formed is _____, (d) The solution of the equation is _____.

Let breadth of the rectangle be x cm and length of the rectangle would be 2x cm

Then the perimeter of the rectangle be 2(2x + x) i.e., 6x

6x = 90

x = 90/6

x = 15

Hence 2x = 30

Thus,

(a) If the breadth of rectangle is x cm, the length of the rectangle is 2x.

(b) Perimeter in terms of x is 6x.

(c) The equation formed is 6x = 90.

(d) The solution of the equation is 15.

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

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 22**

## The length of a rectangle is two times its breadth. Its perimeter is 60 cm. (a) If the breadth of rectangle is x cm, the length of the rectangle is _____, (b) Perimeter in terms of x is _____, (c) The equation formed is _____, (d) The solution of the equation is _____

**Summary:**

(a) If the breadth of rectangle is x cm, the length of the rectangle is 2x, (b) Perimeter in terms of x is 6x, (c) The equation formed is 6x = 60, (d) The solution of the equation is 10

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