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Question
Find the area of each of the following figure:
Solution
Area of given figure
= Area of ΔAED + Area of ΔABP + Area of trapezium BPRC + Area of ΔCRD
= `(1)/(2) xx "AD" xx "EQ" + (1)/(2) xx "AP" xx "BP" + (1)/(2) xx ("BP" + "CR") xx "PR" + (1)/(2) xx "RD" xx "CR"`
= `(1)/(2)[("AD" xx "EQ") + ("AP" xx "BP") + ("BP" + "CR") xx "PR" + ("RD" xx "CR")]`
= `(1)/(2)[("AP" + "PR" + "RD") xx "EQ" + ("AP" xx "BP") + ("BP" + "CR") xx "PR" + ("RD" xx "CR")]`
= `(1)/(2)[(8 + 22 + 6) xx 14 + (8 xx 10) + (10 + 8) xx 22 + (6 xx 8)]`
= `(1)/(2)[504 + 80 + 396 + 48]`
= `(1)/(2) xx 1028`
= 514cm2.
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