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Write a function rule for the area of a rectangle with a length 2 ft less than three times it’s width. What is the area of the rectangle when it’s width is 2 ft?

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Answer:

A(w) = w(3w-2)

A(2) = 8 . . . . square feet

Explanation:

For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...

A = WL

A(w) = w(3w-2)

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To find the area for a width of 2, we put 2 where w is, then evaluate.

A(2) = 2(3·2 -2) = 8 . . . . square feet