Question

a square has a side length of 9.4 yards. what is the area of the square?
37.6 yd
37.6 yd²
88.36 yd
88.36 yd²

Explanation:

Step1: Recall the formula for the area of a square

The area formula of a square is \(A = s^2\), where \(s\) is the side - length of the square.

Step2: Substitute the given side - length into the formula

Given \(s = 9.4\) yards. Then \(A=(9.4)^2\).
Using the formula \((a + b)^2=a^{2}+2ab + b^{2}\), where \(a = 9\) and \(b=0.4\).
\((9.4)^2=(9 + 0.4)^2=9^{2}+2\times9\times0.4+0.4^{2}\)
\(=81+7.2 + 0.16\)
\(=88.36\)

Answer:

\(88.36\space yd^{2}\)