Question

A carpenter is building a rectangular shed with a fixed perimeter of 32 ft. what are the dimensions of the largest shed that can be built? what is its area?

Answer 1

The length and breadth of the shed is 8 ft each

The area of the shed is 64 sq ft

Step-by-step explanation:

The perimeter of the rectangular shed = 32 ft

The perimeter of a rectangle = 2x (length + breadth)

32 = 2 x (l +b)

L+ b = 16

The largest shed that can be built is a square shed. Thus, the length and breadth are equal

Hence;

2 x length = 16

Length of the shed = 8 ft

Breadth of the shed = 8 ft

The area of this shed = length x length

  = 8 x 8

  = 64 sq ft

The area of the shed is 64 sq ft