Question

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 350 feet

of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.

Answer 1

Length l= 105 feet

Breadth b=
`(2 * 105)/(3)=70` feet

Explanation:

Let the length l of the field be x

Hence the breadth b of the field is
`(2x)/(3)`

Given that the perimeter P is 350 feet

Perimeter is given as P=2(l+b)

`350=2(x+(2x)/(3))`

`350=2((3x+2x)/(3))`

`350=2((5x)/(3))`

`350 * 3=2 * 5x`

`350 * 3=10x`

`x=(350 * 3)/(10)`

`x=35 * 3`

`x=105`

Hence Length l= 105 feet

Breadth b=
`(2 * 105)/(3)=70` feet