calculate the area of quadrilateral ABCD, given figure
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Step-by-step Click here to get an answer to your question ✍️ calculate the area of quadrilateral ABCD calculate the area of trapezium PQRS.
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in triangle BCD
CD=17cm
CB=8cm
BD=?
pythagoras theorem
17²=8²+BD²
289=64+BD²
289-64=BD²
225=BD²
15=BD
Now in Triangle BDA
AD=9cm
BD=15cm
AB=?
again pythagoras theorem
15²=9²+AB²
225=81+AB²
225-81=AB²
144=AB²
12=AB
Now are of ABCD=ar.traingleBCD+ar.traingleBDA
=1/2×8×15+1/2×12×9
=60+54
=114cm²
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