Question

think about the process the length of a rectangle is twice the width. the area of the rectangle is 88 square units. notice that you can divide the rectangle into two squares with equal area. how can you estimate the side length of each square?
how can you estimate the side length of each square?
a. estimate $sqrt{44}$.
b. estimate $sqrt{88}$.
c. estimate $\frac{sqrt{88}}{4}$.
d. estimate $\frac{sqrt{44}}{4}$.

Explanation:

Step1: Set up rectangle area equation

Let width = $w$, length = $2w$. Area formula: $w \times 2w = 88$
$2w^2 = 88$

Step2: Solve for square area

Divide rectangle area by 2 for 1 square: $w^2 = \frac{88}{2} = 44$

Step3: Relate to square side length

Square side = $w$, so $w = \sqrt{44}$

Answer:

A. Estimate $\sqrt{44}$