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Question

A quadrilateral has an area of 453.6 m2. The length of a diagonal is 42 m and the perpendicular distance from one vertex to the diagonal is 10 m. What is the perpendicular distance from the other vertex to the diagonal ?


A

23.2 m

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B

11.6 m

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C

11 m

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D

22 m

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Solution

The correct option is B

11.6 m


Area of a quadrilateral can be written as the sum of areas of two triangles.

Let the perpendicular distance from the other vertex be x.

Area of a triangle= =12×base×height

Area of the quadrilateral =12×42×10+12×42×x

453.6=12×42(10+x)

x=11.6m.


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