In the given figure, ABCD is a trapezium in which AD || BC, ABC = 90°, AD = 16 cm, AC = 41 cm and BC = 40 cm. Find the
area of the trapezium,

252 cm²

Step-by-step explanation:

Find AB:

AB² = 41² - 40²

AB² = 81

AB = √81

AB = 9 cm

Area of the trapezium = ½(a + b) × h

Where,

a = 16 cm

b = 40 cm

h = 9 cm

Area = ½(16 + 40) × 9

Area = ½(56)×9

Area = 252 cm²

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.

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