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
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
