What will its dimensions be?

Question

Ignacio is planning a rectangular garden that is 25 m longer than it is wide. The garden will have an area of 7500 m2.

Answer 1

w=width

w+25=length

A=l*w

7500=(w+25)*w

7500=w^2+25w

w^2+25w-7500=0

7500=75*100 and 100-75=25

factor

(w+100)(w-75)=0

w-75=0

w=75 (width)

w+25=100 (length)