Question

the width of a rectangle is 2 inches less than it's length,and the area is 35 square inches.What are the length and width of the rectangle?Separate the answers with a comma.​

Answer 1

Length: 7 inches, Width: 5 inches

Explanation:

Width: w

Length: w + 2

w(w + 2) = 35

w²+ 2w - 35 = 0

w² + 7w - 5w - 35 = 0

w(w + 7) - 5(w + 7) = 0

(w + 7)(w - 5) = 0

w = 5, -7

Since w is the width, can't be negative

w = 5

Length = w + 2 = 5 + 2 = 7

Answer 2

7 for the length and 5 for the width. 7 x 5 = 35