Question

The length of a rectangle is three times its breadth. If the area of the rectangle is 1875 sq. cm, find its perimeter.

Answer 1

Let the breadth of a rectangle = x

and the length of a rectangle = 3x

∴ Area of the rectangle = l × b

⇒ 1875 cm² = x × 3x

⇒ 3x² = 1875

⇒ x² = `1875/3`

⇒ x = `sqrt 625`

⇒ x = 25 cm

∴ Breadth of a rectangle = 25 cm

and legnth of a rectangle = 3 × 25 cm = 75 cm

Now, perimeter of a rectangle = 2 (l + b)

= 2 (75 + 25) cm

= 2 × 100 cm = 200 cm