Question

in a rectangle the length is 10cm more than its breadth perimeter of the rectangle is 60 cm and its area is 200 square cm then find the length and breadth of it? ​

Answer 1

Let Breadth of Rectangle of be x cm

Then : Length = x + 10 cm

Perimeter of Rectangle = 2(L + B)

⇒ Perimeter of Rectangle = 2(x + 10 + x)

⇒ Perimeter of Rectangle = 2(2x + 10)

⇒ Perimeter of Rectangle = 4x + 20

Given Perimeter of Rectangle = 60 cm

⇒ 60 cm = 4x + 20

⇒ 60 cm - 20 = 4x

⇒ 40 cm = 4x

⇒ 40 cm/4 = x

⇒ 10 cm = x

So

• Length of Rectangle = x + 10 = 10 + 10 = 20 cm

• Breadth of Rectangle = x = 10 cm