Problema Solution
A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10m greater than the other side. Find the length of the fence needed to surround this garden if the area of the vegetable garden is 2184m2.
Answer provided by our tutors
The sides of the rectangle fence can be written as: x and x + 10, where x positive number.
The area is the rectangle is 2184 m^2 which means:
x(x + 10) = 2184
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click here to see the equation solved for x
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x = 42 m
The length of the fence is the perimeter of the rectangle with sides x and x + 10:
P = 2x + 2(x + 10)
P = 4x + 20
plug x = 42
P = 4*42 + 20
P = 168 + 20
P = 188 m
The length of the fence needed is 188 meters.