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Question
Arivu has a land ABCD with the measurements given in the figure. If a portion ABED is used for cultivation (where E is the mid-point of DC), find the cultivated area.
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Solution
From the figure given ABED is a trapezium with height h = 18 m
One of the parallel side a = 24 m
Since E is the midpoint of D.
Other parallel side b = `24/2` = 12 m
Area of the cultivated ADEB = `1/2` × h(a + b) m2
= `1/2` × 18 (24 + 12)
= 9 × 36 m2
= 324 m2
Area of cultivation = 324 m2
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