Question

Hector has a rectangular garden that measures 13 m wide by 15 m long. He wants to increase the area to 255 m2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?

Answer 1

let x be the length loner
(15+x)*(13+x)=255
x^2+28x+195=255
x^2+28x-60=0
( x-2)(x+30)=0
x=2 or x=-30 (rejected)
Therefore the length longer is 2 m