### Home > CCA > Chapter 9 > Lesson 9.1.3 > Problem 9-30

9-30.

Solve the following problem using any method. Write your solution as a sentence.

The length of a rectangle is 5 cm longer than twice the length of the width. If the area of the rectangle is 403 square centimeters, what is the width? Homework Help ✎

Make a diagram and label the sides.

Write an equation to solve for the width (*x*).

Distribute and solve for *x*.

Use the quadratic formula to solve for *x*.

Can't have a negative length.

(2*x* + 5)(*x*) = 403

2*x*^{2} + 5*x* = 403

2*x*^{2} + 5*x* − 403 = 0