The area of abed is 49 square units. given the ag=9. and ac=10 units whay fraction of the are acig is represented by the shaped region?

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

where b is the length side of the square

we have

substitute

therefore

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

substitute the given values

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

we have

substitute

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

we have

substitute

step 5

sum the shaded areas

step 6

Divide the area of  of the shaded region by the area of ACIG

Simplify

Divide by 5 both numerator and denominator

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18