A rectangular deck is made up of four wooden beams. The length of the rectangular deck is given by x feet, and the width is 4 feet less than the length, as shown by the diagram below.The total area of the deck, in square feet, is a function of the distance x, in feet.What is the function, A(x), that represents the total area of the deck, in square feet?
Question
A rectangular deck is made up of four wooden beams. The length of the rectangular deck is given by x feet, and the width is 4 feet less than the length, as shown by the diagram below.The total area of the deck, in square feet, is a function of the distance x, in feet.What is the function, A(x), that represents the total area of the deck, in square feet?
Solution
To find the function A(x) that represents the total area of the deck, we need to determine the length and width of the rectangular deck.
From the given information, we know that the length of the deck is x feet. The width is 4 feet less than the length, so we can express it as (x - 4) feet.
The area of a rectangle is calculated by multiplying the length and width. Therefore, the area of the deck can be represented as A(x) = x * (x - 4).
So, the function A(x) that represents the total area of the deck, in square feet, is A(x) = x * (x - 4).
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