Question

the width of a pool table is x feet and the length is 3 feet longer than the width. write a polynomial A(x) to represent the area of the pool table. find a (4)

Answer 1

A(x) = x² + 3x

A(4) = 28 ft²

Step-by-step explanation:

If the length is 3 ft longer than the width, we can represent the length as x + 3

Then, the area of the pool table can be calculated as:

Area = Length x Width

So, replacing the length by x + 3 and the width by x, we get:

A(x) = (x + 3)x

A(x) = x² + 3x

Then, A(4) can be calculated replacing x by 4, so:

A(4) = 4² + 3(4)

A(4) = 16 + 12

A(4) = 28 ft²

Therefore, the answers are:

A(x) = x² + 3x

A(4) = 28 ft²