Question

The width of a rectangular block is 1/3 of the length of its perimeter is 320 m find its dimensions

Answer 1

Let x represent the length

width (w):
`(1)/(3)`x

length (L): x

Perimeter (P) = 2L + 2w

320 = 2(x) + 2(
`(2)/(3)`x)

320 =
`(6)/(3)`x + (
`(2)/(3)`x)

320 =
`(8)/(3)`x

(
`(3)/(8)`)320 = x

`(960)/(8)` = x

120 = x

width =
`(1)/(3)`x

= (
`(1)/(3)`)120

= 40

Answer: 40m x 120m