Advance Math
posted by Christine on .
The path around a square flower bed is 3 feet wide. If the area of the flower bed is equal to the area of the path, find the dimensions of the flower bed.

area of bed = x^2
area of whole figure = (x+6)^2
area of path = (x+6)^2  x^2
so
x^2 + 12 x + 36 x^2 = x^2
x^2 + 12 x + 36 = 0
x^2  12 x  36 = 0
(x6)(x6) = 0
x = 6