Question

The length of a verandah is 12m more than its breadth.The numerical value of its area is equal to 4 times the numerical value of its perimeter.Find the dimensions of the verandah.

Answer 1

assume the length of the verandah is 12+x

then the width is x

also: x(12+x)= 4(x+12+x)

x^2 + 12x= 4(2x + 12)

x^2 + 12x= 8x + 48

x^2 + 4x= 48

x^2 + 4x - 48=0

by the quadratic formula

x= 2$\sqrt{13}$ + 2