Question

a rectangular garden is fenced on all sides with 128 feet of fencing. The garden is 4 feet longer than it is wide. Find the length and width of the garden

Answer 1

Length = 34 feet

Breadth = 30 feet

Explanation:

Perimeter= 128 ft

Let the breadth be =
`x`

Let the length be =
`x+4`

∴by the problem ,

2(length+breadth)= perimeter

`2(x+4+x)=128\\2(2x+4)=128\\4x+8=128\\4x=128-8\\4x=120\\x=120/4\\x=30`

Therefore, length of the garden = 30+4= 34 feet

breadth of the garden = 30 feet