Problema Solution
If I install a uniform 2 foot wide path around a square garden bed and the total area of the path and the garden bed is 64 square feet, what is the area of the garden bed?
Answer provided by our tutors
Let 'a' represent the length of the side of the square garden bed, a>=0.
The area of the path and the garden is 64 ft^2 means:
(a + 2*2)(a + 2*2) = 64
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a = 4 ft
The area of the garden bed is the area of a square with side equal to 4 ft:
A = a^2
A = 4*4
A = 16 ft^2
The area of the garden bed is 16 ft^2.