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Question
The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is ______.
Options
124 cm2
118 cm2
128 cm2
112 cm2
Solution
The perimeter of a trapezium is 52 cm and its each non-parallel side is equal to 10 cm with its height 8 cm. Its area is 128 cm2.
Explanation:
Given, perimeter of a trapezium is 52 cm and each other non-parallel side is of 10 cm.
Then, sum of its parallel sides = 52 – (10 + 10)
= 52 – 20
= 32 cm
∴ Area of the trapezium = `1/2(a + b) xx h`
= `1/2 xx 32 xx 8` ...[∵ h = 8 cm and a + b = 32 cm]
= 128 cm2
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