Question

The length of a rectangle is twice the width. The area of the rectangle is 94 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.

Answer 1

Answer: w=$\sqrt{47}$, l=2$\sqrt{47}$

Step-by-step explanation:

A=area of rectangle

A=l*w

A=2w*w

94=2w*w

w*w=47

w=$\sqrt{47}$   ==> width of rectangle and side length of square

94=l*w

94=l*$\sqrt{47}$

l=$\frac{94}{\sqrt{47} }$

l=$\frac{94\sqrt{47} }{47 }$

l=2$\sqrt{47}$