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Cloud [144]
3 years ago
6

The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the funct

ion W(x) = 2x^2 − 4x + 13. Which of the following shows the area of the rectangle in terms of x?
Mathematics
2 answers:
mario62 [17]3 years ago
5 0
Recall that Rectangle area is the multiple of W*L

So Multiply both equations, you will get the area in terms of x.

The answer would be => A(x)=10x^3-20x^2+65x

Hope this helps :)
Mazyrski [523]3 years ago
3 0

Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.


In this case, we could say (where A(x) is the area of the rectangle):

A(x) = L(x) \cdot W(x)


Substituting the values the problem gave us for L(x) and W(x), we can find the formula for A in terms of x, which is:

A(x) = (5x) \cdot (2x^2 - 4x + 13) = (10x^3 - 20x^2 + 65x)


The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.

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