Problema Solution
A girl has a rectangular plot of land where she can plant a garden. She wants to have a path around the garden with a uniform width of x. If the plot of land measures 44 feet by 55 feet and she has a usable garden area of 1530 square feet, what is the width of the path?
Answer provided by our tutors
Since the path is of uniform width x and goes around the garden the area of the garden that is usable is:
A = (44 - 2x)*(55 - 2x)
We also know that A = 1530 ft^2, thus
(44 - 2x)*(55 - 2x) = 1530
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click here to see the equation solved for x
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x = 5 ft
The width of the path is 5 feet.