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It is just triangle ADE + CDE – 26

ADE covers A and B. 

CDE covers B and C

26cm2 covers ABC

ADE + CDE – 26 = A + B + B + C – A – B – C = B

 

ADE = 1/2 X 8 x 5 = 20 cm2

CDE = 1/2 x 5 x 4 = 10 cm2

Shaded area = 20 + 10 – 26 = 4cm2##

 

 

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