The area of a room os 396 feet. the length is (x+7) feet and the width is (x+3) feet. find the dimensions of the room

I will assume that this room is rectangular. If so, its area is determined by

l • w = A

The length is (x + 7), and the width is (x + 3). We also know the area is 396 square feet. We can plug in and solve:

(x + 7) • (x + 3) = 396

x^2 + 3x + 7x + 21 = 396

x^2 + 10x + 21 = 396

x^2 + 10x - 375 = 0

x = 15