Question

The length of a rectangle is twice its width. If its perimeter is 60 m, then its area is (a) 600 m², b) 400 m², c)150 m², d) 200 m²​

Answer 1

The answer is (d) 200 m².

Explanation:

Let's denote the width of the rectangle as w. Then the length of the rectangle is twice the width, which means the length is 2w.

The perimeter of a rectangle is given by the formula:

P = 2l + 2w

Substituting the values, we get:

60 = 2(2w) + 2w

Simplifying the equation, we get:

60 = 6w

Dividing both sides by 6, we get:

w = 10

So the width of the rectangle is 10 m and the length is twice the width, which is 20 m.

The area of a rectangle is given by the formula:

A = lw

Substituting the values, we get:

A = 10 x 20

Simplifying the equation, we get:

A = 200

Therefore, the area of the rectangle is 200 m².