251,072 views
34 votes
34 votes
The length of a rectangle is 7 inches longer than it is wide. If the area is 60 square inches, what are the

dimensions of the rectangle?

User Ray Purchase
by
3.1k points

1 Answer

16 votes
16 votes

Answer: 5 by 12

Explanation:

Let's call the dimensions of the rectangle w and w+7

The area is 60, so we can do 60=w(w+7)

60=w^2+7w

w^2+7w-60=0 factor the quadratic equation

(w-5)(w+12)=0

w-5=0, w=5

w+12=0, w=-12

Since the length of a rectangle cannot be negative, w=5

the dimensions of the rectangle are 5 and 12

User Fillet
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.