Problema Solution

A rectangular garden has a width of 5 feet and a length of 10 feet. If an equal amount is added to both the width and the length, the area is increased to 84 square feet. What is this amount?

Answer provided by our tutors

Initial area = 5*10 = 50 sq feet

Let amount added be x

Final area = (5+x)*(10+x) = 84

=> x^2 + 15x -34 =0

=> (x-2)(x+17) =0

=> x=2 feet