Asked by Christine

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.

Answers

Answered by Damon
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
(x-6)(x-6) = 0
x = 6
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions