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The dimensions of an enclosure are shown. The perimeter of the enclosure is 160m.
a) Find a rule for the area, A m^2, of the enclosure in terms of x.
b) State a suitable domain of the function A(x).
c) Find the maximum possible area of the enclosure and state the corresponding values of x and y.
Thanks in advance everyone.
(a) A = xy ... (1)
But 2x + 2y = 160 => y = 80 - x .... (2)
Substitute equation (2) into (1):
A = x(80 - x).
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