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): $\frac{1}{3}$x

length (L): x

Perimeter (P) = 2L + 2w

320 = 2(x) + 2($\frac{2}{3}$x)

320 = $\frac{6}{3}$x + ($\frac{2}{3}$x)

320 = $\frac{8}{3}$x

($\frac{3}{8}$)320 = x

$\frac{960}{8}$ = x

120 = x

width = $\frac{1}{3}$x

= ($\frac{1}{3}$)120

= 40

Answer: 40m x 120m