Reggie currently has a square rug in his living room. he is moving soon and has determined that for his new living room, he will need a rug that has a width that is two feet shorter than his current rug and a length that is five feet longer than his current rug. let x represents the side measure of reggie's current rug, in feet. determine the equation that represents the area, y, in square feet, of the rug needed for his new living room. y = x2 + 3x - 10 y = x2 - 7x + 10 y = x2 - 3x - 10 y = x2 + 7x + 10

y = x² + 3x - 10

Explanation:
Reggie's current rug has a square shape.
This means that:
length of rug = x ft
width of rug = x ft

For the new rug:
1- the length is 5 ft longer than the current rug. This means that:
new length = x + 5 ft
2- the width is 2 ft shorter than the current rug. This means that:
new width = x - 2 ft

The area of the new rug can be calculated as follows:
area of new rug = new length * new width
area of new rug = (x + 5)(x - 2)
area of new rug = x(x) - 2(x) + 5(x) - 5(2)
area of new rug = x² - 2x + 5x - 10
area of new rug = x² + 3x - 10 ft²

Hope this helps :)