Question

the shorter side of a rectangle is 60% of the longer side and the perimeter of the rectangle is 96 inches. find the side lengths

Answer 1

Length of the rectangle:

`x = (4800)/(106) = (2400)/(53)`

Breadth of the rectangle:

`60\%(x) = (60)/(100) * (4800)/(106) \: \: \: \: \: \: \: \: \: \: \: \\ =60 * (48)/(106) \\ = (2880)/(106)`

Explanation:

Longer side of the rectangle(length) = x

Shorter side of the rectangle(breadth) = (60%)x

Perimeter of the rectangle = 2(l+b) = 96 inches

Hence,

`96 = 2(x + 60\%(x))`

`96 = 2(x + (6)/(100 ) x)`

`96 = 2( (100)/(1 00) x + (6)/(100) x)`

`96 = 2( (106)/(100) x)`

`96 = (106)/(50) x`

`96 / (106)/(50) = x`

`96 * (50)/(106) = x`

`(4800)/(106) = x`