Q) In the adjoining figure ABCD is a rectangle Find the area of the shaded region - Maths - Mensuration

Question

Q) In the adjoining figure ABCD is a rectangle Find the area of the
shaded region

Shruti Tyagi · Accepted Answer

Dear student,

There is one correct in the fig AE=10 not 100 cm
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a8a75df27f89%20png"
style="width: 350px; height: 213px;">
Area of rectangle ABCD=L×B=CD×AD=18×12=216 cm2Area of ∆ADE=12×AE×AD                 --[using Area of rt ∆=12×base×height]=12×10×12=10×6=60 cm2Area of ∆EBF=12×EB×BF=12×18-10×12×7=12×8×5=4×5=20 cm2Area of ∆FCD=12×CD×FC=12×18×7=9×7=63 cm2Area of shaded region=Area of rectangle-Area of ∆ADE-Area of ∆EBF-Area of ∆FCD=216 -60 -20 -63 cm2=216-143cm2=72 cm2
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Q). In the adjoining figure ABCD is a rectangle. Find the area of the shaded region.