The area of abed is 49 square units. given agequals9 units and acequals10 units, what fraction of the area of acig is represented by the shaded 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

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true

explanation: