2001 AMC 8 Problem 8

Attempt Problem 8 of the 2001 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2001 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

8.

Genevieve puts bracing on her large kite in the form of a cross connecting opposite corners of the kite. How many inches of bracing material does she need?
3030
3232
3535
3838
3939
Answer: E
Concepts:power scaling of length, area, and volumediagonal
Small hint:
The bracing is the sum of the two diagonals
Big hint:
Tripling the grid triples both diagonal lengths
Solution:
The long diagonal is 77 units, and the short one is 66 units.
In the large kite, one unit is 33 inches, so the total amount of bracing material needed is 3(7+6)=3⋅13=39. 3(7 + 6) = 3 \cdot 13 = 39.
Thus, E is the correct answer.
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