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Q.

The area of quadrilateral whose one diagonal is 25cm long and the lengths of perpendiculars from the other two vertices are 16.4cm and 11.6 cm respectively is:


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is D.

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Detailed Solution

On drawing the diagram using the given information,
quad 1.PNGArea of a triangleQuestion ImageTo find the area of ABCD, we will find the area of ADC and ABC.
In Question ImageAC=25cm and DE=16.4cm
Area of ADC
Question ImageQuestion ImageQuestion ImageIn Question Image,
AC = 25cm and BF = 11.6cm
Area of ABC:
Question ImageQuestion ImageQuestion ImageArea of ABCDQuestion Image Question ImageQuestion Image 
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The area of quadrilateral whose one diagonal is 25cm long and the lengths of perpendiculars from the other two vertices are 16.4cm and 11.6 cm respectively is: