Question

the width of rectangle is two third of its length . If is the perimeter is 180 metre find the dimensions of the rectangle

Answer 1

w=(2/3)*l
2(l+w)=180
l+w=90
l+(2/3)l=90
(5/3)l=90
l=54,w=36

Answer 2

Let the length of rectangle be=x metre.
$therefore \: width \: of \: rectangle = \frac{2}{3} x \\ as \: per \: question \\ perimeter \: of \: rectangle = 180 \: m \\ 2(l + b) = 180 \: m \\ 2(x + \frac{2}{3} x) = 180 \\ \frac{3x + 2x}{3} = \frac{180}{2} \\ \frac{5x}{3} = 90 \\ x = 90 \times \frac{3}{5} = 18 \times 3 = 54$
Therefore length of rectangle =x=54m.
Width of rectangle =2/3x=2/3*54=36m.