Note: figure NOT drawn to scale.

Note: figure NOT drawn to scale.

Refer to the above figure.
Rect ABGF ~ Rect ACDE
AB = 12, BC = 3, AE = 10.
Give the area of Rect ABGF.
A. 216
B. 80
C. 120
D. 108
E. 96

Correct Answer: E
Explanation/Reference:
Explanation:
Rect ABGF ~ Rect ACDE, so the sides are in proportion – that is,

AC = AB + BC = 12 + 3 = 15
Set
AB = 12, AC = 15, AE = 10 and solve for AF:


Rect ABGF has areaAB × AF = 12 × 8 = 96

Download Printable PDF. VALID exam to help you PASS.