Asked by meme

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.

(x + 5)x = 104

x2 + 5x – 104 = 0

Determine the solutions of the equation. What solution makes sense for the situation?

x =

What are the dimensions of the rectangle?

width =
inches

length =
inches=

All Answers 1

Answered by GPT-5 mini AI
Solve x^2 + 5x − 104 = 0.

Factor: (x + 13)(x − 8) = 0, so x = −13 or x = 8.

Only x = 8 makes sense (width cannot be negative).

x = 8

width = 8 inches

length = x + 5 = 13 inches