Question

A community center is expanding the size of its rectangular meeting hall. The hall is currently 300ft long and 150ft wide. The center plans to expand both the length and the width of the meeting hall by 3x ft. What polynomial in standard form represents the area of the expanded meeting hall?

Please explain how to set up and to solve. Thanks

Answer 1

before 300 x 150

now: (3x+300)(3x+150)

We expand this by multiplying the first two terms (3x and 3x)

Then add that to the first term of the first parentheses (now henceforth p) and the last term of the second p.

Then add that to the last term of the first p and the first term of the second p.

Then add that to the last terms of both p.

= 9x^2 + 450x+900x + 45000 =

9x^2 + 1350 x + 45000

That's your answer.

Answer 2

Thank You for the answer.