Question

Molly is designing a dog house for her puppy that has a rectangular base. The length of the base is 7 inches more than its width. She wants the area of the base to be at least 375 square inches. If w represents the width of the doghouse, write the inequality that can be used to determine the possible dimensions of the base of the dog house. w2 + w

Answer 1

w = widthw + 7 = length {length is 7 more than the width} Area of rectangle = width x length

w(w + 7) ≥ 375 {area needs to be at least 375}
w² + 7w ≥ 375 {used distributive property}

The inequality that can be used to determine the possible dimension of the base of the dog house is w(w + 7) ≥ 375 {area needs to be at least 375} and w² + 7w ≥ 375 {used distributive property}.