​The perimeter of a rectangle is 120 m. If its length is twice its breadth, then its area is: ​

Correct option is D

Given:

​The perimeter of a rectangle is 120 m.

If its length is twice its breadth.

Formula used:

Area = l × b

Perimeter = 2 × (l + b)

Where:

A is the area of the rectangle.

l is the length of the rectangle.

b is the breadth of the rectangle.

Solution:

Let, Breadth of the rectangle = b 

Then Length = 2b 

Perimeter = 120

2 × (2b + b) = 120

(3b) = $$\frac{120}{2}$$

(b) = 20

then, length = 40cm

Now, rea of the rectangle.

Area =  40 × 20

Area = 800 $$\mathrm{m^2}$$​​

Thus, option (d) is correct.