3) Transfer length of a principal’s office is 2x+5 feet and the width is X+7 feet. Write a polynomial that represents the area. Find the area of x=12 ft.

Question

asked May 15, 2023 78.8k views

1 Answer

Alterecho · Answer 1 · 2023-05-20T14:49:18+0000

Answer:

$A=\text{ 551 square feet}$

Explanation:

The diagram that represents the office would be:

If the area of a rectangle is given as:

$A=\text{ base}\cdot\text{ height}$

The polynomial that represents the area would be:

$\begin{gathered} A=(2x+5)(x+7) \\ A=2x^2+14x+5x+35 \\ A=2x^2+19x+35 \end{gathered}$

Substitute x=12 and find the area:

$\begin{gathered} A=2(12)^2+19(12)+35 \\ A=\text{ 551 square feet} \end{gathered}$