SOLUTION: The width of a pool table is x feet, and the length is 4 feet longer than the width. Find polynomials A(x) and P(x) that represent the area and perimeter of the pool table. Find A(

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The width of a pool table is x feet, and the length is 4 feet longer than the width. Find polynomials A(x) and P(x) that represent the area and perimeter of the pool table. Find A(      Log On

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Question 175730: The width of a pool table is x feet, and the length is 4 feet longer than the width. Find polynomials A(x) and P(x) that represent the area and perimeter of the pool table. Find A(4) and P(4).
Answer by EMStelley(208) About Me  (Show Source):
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Since the width of the table is x, we can represent the length by x+4. Thus, since perimeter = 2L + 2W,
P(x) = 2x + 2(x+4)
P(x) = 2x + 2x + 8
P(x) = 4x + 8
P(4) = 4(4) + 8 = 24 feet
Area is length times width, so
A%28x%29=x%28x%2B4%29=x%5E2%2B4x
A%284%29=4%5E2%2B4%284%29
So A(4) = 32 square feet