The length of a rectangular frame is represented by the expression 2x + 10, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square inches.

4x2 + 32x − 80 = 0
4x2 + 32x + 60 = 0
2x2 + 32x − 80 = 0
x2 + 16x + 60 = 0

1 answer

The equation to solve for the width of the rectangular frame is:

(2x + 10)(2x + 6) = 140

Expanding and simplifying:

4x² + 32x + 60 = 140

4x² + 32x - 80 = 0

Therefore, the answer is:

4x² + 32x - 80 = 0