• Problem:
If the length of a square window is represented by (2x+5) in, find its area.
• Solution:
Since the shape of the window is square, we can use the formula A = S² to get it's area. A is the area while S uis the measure of the side of a square.
Thus,
[tex] \large \boxed{ \begin{array}{} \tt A = S² \\ \tt A = (2x + 5)² \\ \tt A = (2x) {}^{2} + 2(2x)(5) + (5) {}^{2} \\ \tt A = 4x {}^{2} + 20x + 25 \: in {}^{2} \end{array}}[/tex]
Notice the way we solve for the value of the area. The lesson about squaring a binomial has been applied.
• Answer:
The area of the given square window is 4x² + 20x + 25 square inches.
