Areas in Rectangle

Given rectangle ABCD, find the ratio of the area of region I to the area of region II.

Source: NCTM Mathematics Teacher

SOLUTION

Area of region I=\frac{1}{2}\times base\times height
=\frac{1}{2}\times OA\times DH
Area of region II =\frac{1}{2}\times base\times height
=\frac{1}{2}\times OC\times DH
Since the diagonals of a rectangle bisect each other, the area of region I equals the area of region II and their ratio equals 1.

Answer: 1.

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About mvtrinh

Retired high school math teacher.
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