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Suppose that a rectangle has a perimeter of 19 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) =



Answer :

facundo3141592

the area equation is a quadratic function:

A(x) = 9.5m*x - x^2

How to express the area?

For a rectangle of length x and width y, the perimeter is:

P = 2*(x + y)

And the area is:

A = x*y

Here we know that the perimeter is 19m, then we can write:

19m = 2*(x + y)

Now we can isolate y in the above equation so we get:

19m/2 = x + y

9.5m - x = y

Now we can replace that in the area equation, so it only depends on x:

A = x*y = x*(9.5m - x) = 9.5m*x - x^2

Then the area equation is a quadratic function:

A(x) = 9.5m*x - x^2

If you want to learn more about area:

https://brainly.com/question/24487155

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