Question

The breadth of a rectangle is 1/3 of its length. If the area of the rectangle is 48 cm. Find the length and breadth.

Answer 1

length = 12 cm

Breadth = 4 cm

Explanation:

Let length = l

breadth =
`(1)/(3)l`

Area of rectangle = 48 sq.cm

length * breadth = 48

`l * (1)/(3)l = 48\\`

`(1)/(3)l^(2)=48\\\\`

`l^(2)=48*3\\\\l^(2)=144\\\\ l = √(144)\\\\`

l = 12 cm

breadth =
`(1)/(3)l = (1)/(3)*12 = 4 cm`

length = 12 cm

Breadth = 4 cm