Difference between revisions of "2022 AMC 8 Problems/Problem 18"
MRENTHUSIASM (talk | contribs) (Created page with "==Problem== The midpoints of the four sides of a rectangle are <math>(-3,0), (2,0), (5,4),</math> and <math>(0,4).</math> What is the area of the rectangle? <math>\textbf{(...") |
MRENTHUSIASM (talk | contribs) |
||
Line 7: | Line 7: | ||
==Solution== | ==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. | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2022|num-b=17|num-a=19}} | {{AMC8 box|year=2022|num-b=17|num-a=19}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 11:53, 28 January 2022
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.
See Also
2022 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.