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Part 1
Think About the Process The length of a rectangle is twice the width. The area of the rectangle is 74 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.
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Part 1
How can you estimate the side length of each square?
A.
Estimate StartRoot 37 EndRoot.
B.
Estimate StartFraction StartRoot 37 EndRoot Over 4 EndFraction
.
C.
Estimate StartFraction StartRoot 74 EndRoot Over 4 EndFraction
.
D.
Estimate StartRoot 74 EndRoot.
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Answer: A.
Reason: If you split the rectangle into two equal squares, each square has area 74/2 = 37, so its side s satisfies s^2 = 37, s = √37 ≈ 6.0828. Thus the rectangle's width = √37 ≈ 6.08 and length = 2√37 ≈ 12.17.
Reason: If you split the rectangle into two equal squares, each square has area 74/2 = 37, so its side s satisfies s^2 = 37, s = √37 ≈ 6.0828. Thus the rectangle's width = √37 ≈ 6.08 and length = 2√37 ≈ 12.17.
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