Question

The sides of the rectangle are in the ratio 7 :5and its perimeter is 96cm. Find the length of the rectangle

Answer 1

$let \: the \: side \: of rectangle \: be \: 7x \: and5x \: then \\ perimeter \: of \: rectangle \: = 2(l + b) \\ \\ 96 = 2(7x + 5x) \\ 96 = 2(12x) \\ 96 = 24x \\ x = 4$
hence the length of rectangle be 7×4=28m

Answer 2

ratio of sides of rectangle=7:5
let the length be 7X
let the breadth be 5X
Perimeter=96cm
Perimeter=2(length+breadth)
96=2(7X+5X)
96=2(12X)
96=24X
X=4
then length of rectangle=7×4=28cm