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 =

Step-by-step explanation:

Because Reggies rug is square, this means that there is a constant, x, that stays the same, because x * x = area of square

The new rug is 2 feet shorter than his current one, so this would be (x - 2). As the rug is also 5 feet longer than his current one, this would make it (x + 5).

So simply plug the values into this equation:

(x - 2)(x + 5) = area

= (x * x) + (x * 5) + (-2 * x) + (-2 * 5)

=

A plus and a minus makes a negative:

5x - 2x = 3x

the first one, all those points on the line just make a strait line.