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ABCD is a parallelogram and numerical value inside the given regions are the area of that region. Find the area of the shaded region. Given that the area of ΔACE is equal to half of the area of parallelogram.(Given that E lies between B and D)

ABCD is a parallelogram and numerical value inside the given regions are the area of that region. Find the area of the shaded region. Given that the area of ΔACE is equal to half of the area of parallelogram.(Given that E lies between B and D) Correct Answer 9

We know that area of ΔACE = Half of the area of parallelogram

⇒ Area of ΔAEC = Area of ΔABE + Area of ΔCDE

⇒ Area of ΔAEC = Shaded area + 72 + 8

⇒ Also, 79 + 10 = Area of ΔABE + Area of ΔCDE

⇒ Shaded area 72 + 8 = 79 + 10

∴ Shaded area = 89 - 80 = 9

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