the length of a rectangle is 5 inches more than 2 times the width. If the area of the rectangle is 133 square inches, find the length and the width

Length = 19 inches

Width = 7 inches

Step-by-step explanation:

The length of a rectangle is 5 inches more than two times the width.

The area of the rectangle is 133 square inches.

We are to find the length and the width.

Let's say the width (w) is x inches.

The length (l) will be 2x + 5 inches

Area of a rectangle = l * w

x (2x + 5) = 133

2x² + 5x - 133 = 0

Applying the quadratic formula we get;

x = 7 or - 7

Since we can't have - 7 as the width, the width of this rectangle = 7 inches

The length = 2 (7) + 5 = 19 inches.