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
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
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