The function A(x) = -x(10 – x) describes the area A of a rectangular flower garden, where x is the width in yards. What is the maximum area of the garden?

Maximum area of the rectangular park is 75 square yards.

Step-by-step explanation:

The function A(x) = -x(10 - x) describes the area of a rectangular flower garden.

A(x) = -x(10 - x)

Where x = width of the garden

For the maximum area we will find the derivative of the given function and equate it to zero.

= 0

For A'(x) = 0,

2x - 10 = 0

x = 5 yards

For A(5) = 5(10 + 5)

             = 75 square yards

Therefore, the maximum area of the rectangular garden is 75 yards².

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step-by-step explanation: