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Question

Find the area of the given quadrilateral ABCD. Given that the length of BD, AE and CB are 28 cm, 12 cm and 8 cm respectively.


A

280

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B

340

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C
320
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D
None of these
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Solution

The correct option is A

280


It is given that DB = 28 cm, AE = 12 cm and AC = 8 cm
AE and AC are perpendicular to diagonal BD
Area of quadrilateral ABCD = Area of Δ ABD + Area of Δ BDC
= 12 × DB × AE + 12 × DB × BC
= 12 × DB × (AE + BC)
= 12 × 28 × (12 + 8)
= 280 cm2


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