2001 AMC 8 Problem 7

Attempt Problem 7 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).

7.

Problems 7,7, 8,8, and 99 are about these kites.
To promote her school’s annual Kite Olympics, Genevieve makes a small kite and a large kite for a bulletin board display. The kites look like the one in the diagram. For her small kite Genevieve draws the kite on a one-inch grid. For the large kite she triples both the height and width of the entire grid.
What is the number of square inches in the area of the small kite?
2121
2222
2323
2424
2525
Answer: A
Concepts:kiteareadiagonal
Small hint:
Use the kite diagonals on the grid
Big hint:
The area is half the product of the diagonals
Solution:
Recall that the area of a kite is the product of its diagonals divided by 2.2.
Therefore, the area of the small kite is 6⋅72=422=21. \dfrac{6 \cdot 7}{2} = \dfrac{42}{2} = 21.
Thus, A is the correct answer.
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