Question

The length of a rectangle is x+2 inches long, and the width is 5 inches. If the area is 50 square inches, write and solve an equation to find the length of the rectangle. (Hint: Area = length x width)

Answer 1

To find the length of the rectangle, the equation (x + 2) * 5 = 50 is used, revealing that the length is 8 inches.

Step-by-step explanation:

The question asks us to find the length of a rectangle given the area and the width. We can set up an equation using the formula for the area of a rectangle (area = length × width). With the area given as 50 square inches and the width given as 5 inches, the equation would be written as:

(x + 2) × 5 = 50.

To solve for x, which represents the length, we follow these steps:

1. Divide both sides of the equation by 5 to get x + 2 = 10.
2. Subtract 2 from both sides of the equation to get x = 8.

Therefore, the length of the rectangle is 8 inches long.