Question

Pls help⚠️

The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.

Answer 1

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Answer:

A(x) = x(280 -x)

Explanation:

The perimeter is given by the formula ...

P = 2(L +W)

Using the given values, we can solve for the length of the rectangle:

560 = 2(L +x)

280 = L +x

280 -x = L

The area is the product of length and width, so the area is ...

A = LW

A(x) = (280 -x)x