Solving a word problem using a quadratic equation with rational roots

Question

The area of a rectangle is 42 m2, and the length of the rectangle is 5 m more than twice the width. Find the dimensions of the rectangle.

Length:

Width:

Answer 1

w represents the width

2w + 5 represents the length

42 = w(2w + 5)

42 = 2x² + 5w

0 = 2w² + 5w - 42

Can you solve for w and answer?