A room is a square with integer dimensions. it is made 3 feet wider and 2 feet deeper. the increase in area is 46 square feed. What were the dimensions of the old room?

Answer 1

original: x by x
area = x^2

new dimensions: (x+3) and (x+2)
new area = (x+3)(x+2) = x^2 + 5x + 6

x^2 + 5x + 6 - x^2 = 46
5x = 40
x = 8

original was 8 by 8

check:
old area = 64

new is 11 by 10
new area = 110
change in area = 110-64 = 46 , yeahh!