Question

A rectangular painting has an area of 105 square inches. The length is 16 inches longer than the width

Answer 1

Answer:

21

Step-by-step explanation:

I wil call the length l and the width w in the following. We are given these informations:

The area of the rectangle is 105. That means l * w = 105. (1)

The length is 16 inches longer that the width. That means l = w + 16. (2)

If we plug the information we get from (2) into the equation (1), we get:

(w + 16) * w = 105

Simplify and you get

w² + 16 w - 105 = 0

With the the quadratic formula we get the results w = 5 and w = -21. The negative result doesn't make sense for our task, we are only interested in positive length and width :).

If we now plug w = 5 back into our infromation (2), we get:

l = 5 + 16 = 21

(To confirm the result plug w = 5 and l = 21 into (1))