Math  /  Geometry

QuestionHeather has 360 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length (in meters) of the field is xx, as shown below. (a) Find a function that gives the area A(x)A(x) of the field (in square meters) in terms of xx. A(x)=A(x)= \square (b) What side length xx gives the maximum area that the field can have?
Side length xx : \square meters (c) What is the maximum area that the field can have?
Maximum area: \square square meters

Studdy Solution
(a) A(x)=180xx2A(x) = 180 \cdot x - x^2 (b) Side length xx: 90 meters (c) Maximum area: 8100 square meters

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