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48cm^2
Step-by-step explanation:
area of rectangle= length * breadth
whole area of rectangle=15*24=360 cm^2
CF=CD-DF=24-12=12
BE=BC-EC=15-8=7
area of ∆ADF= 1/2*24*15=180
area of ∆BFC= 1/2*12*8=48
area of ∆ABE=1/2*24*7=84
total area of three triangle= 180+48+84=312
area of shaded region=360-312=48 cm^2
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