Question

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then

Answer 1

The minimum value of the breadth = 20 cm

Step-by-step explanation:

The complete question:

The length of a rectangle is three times its breadth .If the minimum perimeter of the rectangle is 160 cm then find the minimum value of the breadth .

Let the length of a rectangle = 3x and

The breadth of a rectangle = x

Given

The minimum perimeter of the rectangle = 160 cm

To find,  the minimum value of the breadth = ?

We know that,

The perimeter of the rectangle = 2(Length + Breadth)

⇒ 2(3x + x) = 160 cm

⇒ 2(4x) = 160 cm

⇒ 8x = 160 cm

⇒ x = 20 cm

The minimum value of the breadth = 20 cm

Hence, the minimum value of the breadth = 20 cm