Question

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

1. If the breadth of rectangle is x cm, the length of the rectangle is ______.
2. Perimeter in terms of x is ______.
3. The equation formed is ______.
4. The solution of the equation is ______.

Answer 1

1. If the breadth of rectangle is x cm, the length of the rectangle is 2x.
2. Perimeter in terms of x is 6x.
3. The equation formed is 6x = 60.
4. The solution of the equation is 10.

Explanation:

a. It is given that the length of the rectangle is two times its breadth.

∴ Length = 2x cm

b. Perimeter of rectangle = 2(Length + Breadth) = 2(2x+ x)

⇒ 2(3x) = 60

⇒ 6x = 60

c. As per the condition given in the question, perimeter is 60 cm

The equation formed is, 4x + 2x = 60

6x = 60

d. On dividing the equation by 6, we get

`(6x)/6 = 60/6`

⇒ x = 10

Hence, the solution of the equation is 10.