Question

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

Answer 1

Answer:

Answers are below

Step-by-step explanation:

The solutions for the equation are -13 and 8. Since you can't have a negative measurement, the solution that makes the most sense is x = 8.

Plug in 8 for x into the equation to solve for length.

5 + x

5 + 8

13

width = 8 inches

length = 13 inches

I graphed the equation on the graph below so you can see where I got the 8.

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