Question

think about the process the length of a rectangle is twice the width. the area of the rectangle is 66 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? estimate the length and width of the rectangle. how can you estimate the side length of each square? a. estimate $\frac{sqrt{33}}{4}$ b. estimate $sqrt{33}$ c. estimate $sqrt{66}$ d. estimate $\frac{sqrt{66}}{4}$

Explanation:

Step1: Find area of each square

Since the rectangle can be divided into two equal - area squares and the area of the rectangle is 66 square units, the area of each square is $\frac{66}{2}=33$ square units.

Step2: 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. If $A = 33$, then $s=\sqrt{A}=\sqrt{33}$. So, to estimate the side - length of each square, we estimate $\sqrt{33}$.

Answer:

B. Estimate $\sqrt{33}$