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Perpendicular from the Center to a Chord Bisects the Chord

Find the area...

Question

Find the area of trapezium (in ${c m}^{2}$ ).

A

40

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B

45

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C

48

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D

49

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Solution

The correct option is D 49
Given: Perpendicular distance = 7 cm

CD = 6 cm [Parallel side]

AB = 8 cm [Parallel side]

Area of trapezium = $\frac{1}{2}$ (perpendicular distance between two parallel sides)(sum of the length of the parallel sides)

= $\frac{1}{2}$ (4+3)(8+6)

= 49 ${c m}^{2}$

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