Question

The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x2 − 4x + 13. Which of the following shows the area of the rectangle in terms of x?

(L ⋅ W)(x) = 10x3 − 4x + 13
(L ⋅ W)(x) = 10x3 − 20x2 + 65x
(L + W)(x) = 2x2 + 1x + 13
(L + W)(x) = 2x2 − 9x + 13

Answer 1

A= l x w
5x * 2x^2 - 4x + 13
10x^3 - 20x^2 + 65x

Answer 2

The function that represents the area of the rectangle is: B. (L × W)(x) = 10x³ - 20x² + 65x.

What is the Area of a Rectangle?

Area of a rectangle = (length × width)

Applying the area of a rectangle formula, the area of the rectangle would be:

(L × W)(x) = 5x(2x² - 4x + 13)

Apply the distributive property

(L × W)(x) = 10x³ - 20x² + 65x

The area in terms of x is: (L × W)(x) = 10x³ - 20x² + 65x.

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