The function that gives the area A(x) of the playground in square meters in terms of x is A(x) = -2x² + 240x
let
the sides perpendicular to the school building = x (2 sides)
the side parallel to the school building = y
Therefore,
perimeter = 240m
240 = 2x + y
y = 240 - 2x
Area = xy
The function that gives the area A(x) of the playground in square meters in terms of x can be calculated below:
A(x) = xy
A(x) = x(240 - 2x)
A(x) = 240x - 2x²
A(x) = -2x² + 240x
The leading coefficient is less than zero. Therefore, the parabola is facing downward.
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