The fraction of the area of ACIG represented by the shaped region is 7 / 18.
we know that
AB = BE = ED = AD
The area of the square is:
A = side²
A 49 units²
side² = 49 units²
side = 7 units.
So, AB = BE = ED = AD = 7 units
The area of rectangle ACIG is:
Area = l × b = 9 × 10 = 90 units²
The area of rectangle DEHG = DE × DG
= 7 × 2 = 14 units²
The area of rectangle BCFE = EF × CF = 3 × 7 = 21 units²
sum the shaded areas = 14 + 21 = 35 units².
Divide the area of the shaded region by the area of ACIG:
= 35 / 90
= 7 / 18
Therefore, the fraction of the area of ACIG represented by the shaped region is 7/18.
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