Find the area of a trapezium-shaped window, if the lengths of the parallel sides are 47 cm and 69 cm respectively and the perpendicular distance between them is 23 cm.
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Find the area of a trapezium-shaped window, if the lengths of the parallel sides are 47 cm and 69 cm respectively and the perpendicular distance between them is 23 cm.
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To find the area of a trapezium-shaped window, we can use the formula:
Area = (1/2) * (sum of parallel sides) * (perpendicular distance between them)
Given:
Length of the first parallel side (a) = 47 cm
Length of the second parallel side (b) = 69 cm
Perpendicular distance between the parallel sides (h) = 23 cm
Using the formula, we can calculate the area:
Area = (1/2) * (a + b) * h
Area = (1/2) * (47 cm + 69 cm) * 23 cm
Area = (1/2) * (116 cm) * 23 cm
Area = 58 cm * 23 cm
Area = 1334 cm²
Therefore, the area of the trapezium-shaped window is 1334 cm².