Kishor owns a trapezium-shaped plot with the lengths of the parallel sides of 12 m and 18 m respectively. Find the area of this plot, if the perpendicular distance between the parallel sides is 9 m.
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Kishor owns a trapezium-shaped plot with the lengths of the parallel sides of 12 m and 18 m respectively. Find the area of this plot, if the perpendicular distance between the parallel sides is 9 m.
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To find the area of a trapezium-shaped plot, we can use the formula:
Area = (1/2) * (sum of the lengths of the parallel sides) * (perpendicular distance between the parallel sides)
Given:
Length of one parallel side (a) = 12 m
Length of the other parallel side (b) = 18 m
Perpendicular distance between the parallel sides (h) = 9 m
Using the formula, we can calculate the area:
Area = (1/2) * (a + b) * h
= (1/2) * (12 + 18) * 9
= (1/2) * 30 * 9
= 15 * 9
= 135 square meters
Therefore, the area of the trapezium-shaped plot is 135 square meters.