2022 AMC 8 Problems/Problem 18
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Problem
The midpoints of the four sides of a rectangle are and What is the area of the rectangle?
Solution
The midpoints of the four sides of every rectangle are the vertices of a rhombus whose area is half the area of the rectangle.
Note that and are the vertices of a square whose diagonal is The area of this square is so the area of the rectangle is
~MRENTHUSIASM
See Also
2022 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
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