2001 AMC 8 Problem 9

Below is the professionally curated solution for Problem 9 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:power scaling of length, area, and volume area kite

Difficulty rating: 1020

The large kite is covered with gold foil. The foil is cut from a rectangular piece that just covers the entire grid. How many square inches of waste material are cut off from the four corners?

$63$

$72$

$180$

$189$

$264$

Solution:

The area of the entire grid would be $3 \cdot 7 \cdot 3 \cdot 6 = 378.$ The area of the kite is one-half this area from the formula for the area of the kite, so the wasted material is $378 \div 2 = 189.$

Thus, D is the correct answer.

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