2001 AMC 8 Problem 7

Below is the professionally curated solution for Problem 7 of the 2001 AMC 8, 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.

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Concepts:kiteareadiagonal

Difficulty rating: 900

7.

Problems 7,8,7, 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

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 672=422=21. \dfrac{6 \cdot 7}{2} = \dfrac{42}{2} = 21.

Thus, A is the correct answer.

Problem 7 in Other Years

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