Note: Figure NOT drawn to scale.

Note: Figure NOT drawn to scale.

In the above figure,
Rect ABCD ~ Rect DBEF.
AB = 8, AD = 4.
Give the area of Rect DBEF.
A. 24
B. Insufficient information is given to determine the area.
C. 40
D. 32
E. 64

Correct Answer: C
Explanation/Reference:
Explanation:
Corresponding sidelengths of similar polygons are in proportion, so

AB = 8, AD = 4, so



We can use the Pythagorean Theorem to find DB:



The area of Rect DBEF isDB × DF = 4√5 × 2√5 = 8 × 5 = 40

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