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One hundred meters of fencing is available to inclose a rectangular area next to a river (see figure above). Give a function A that can represent the area that can be enclosed in terms of x.​

One hundred meters of fencing is available to inclose a rectangular area next to a river see figure above Give a function A that can represent the area that can class=

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anna2023147

Answer:

A=2x(-x+50)

Step-by-step explanation:

Since there is a river, you only need to fence 3 sides of the rectangular area.

Let's name x the shorter side of the rectangular area. (height)

Hence, since we have 100 meters of fencing, the longer side of the rectangle would be 100-2x (base)

Area is base*height.

Hence, our equation would be:

A=x(100-2x)

Simplify

A=100x-2x^2

A=2x(-x+50)

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