Question

If the length of the side of a square is 5x + 2 what is area?

Type you answer in standard form and with NO SPACES.

Answer 1

The area of a square is calculated using the formula:

\[
\text{Area} = \text{side}^2
\]

Given that the length of the side of the square is \(5x + 2\), we can substitute this into the formula:

\[
\text{Area} = (5x + 2)^2
\]

Now, we will expand this expression:

\[
(5x + 2)^2 = (5x)^2 + 2(5x)(2) + (2)^2
\]

Calculating each term step by step:

\[
(5x)^2 = 25x^2
\]
\[
2(5x)(2) = 20x
\]
\[
(2)^2 = 4
\]

Now, we can combine these results:

\[
\text{Area} = 25x^2 + 20x + 4
\]

Therefore, the area of the square in standard form is:

\[
\boxed{25x^2+20x+4}
\]