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Question

Find the area of pentagon if AD = 5 cm, BC = 7 cm, AG = 5 cm and EF = 4 cm.

A
14 cm2
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B
22 cm2
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C
30 cm2
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D
44 cm2
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Solution

The correct option is D 44 cm2
Area of pentagon =
Area of trapezium ABCD
+ Area of BEC
= 12×(Sum of parallel sides)×height
+ 12×base×height
= 12×(AD+BC)×AG
+ 12×BC×EF
= 12×(5+7)×5 + 12×7×4
= 12×12×5 + 7×2
= 6×5 + 7×2
= 30 + 14 = 44 cm2

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