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Answer:
given x-y= ED the sides of rectangle
x+y=BE given
x+y=7
x=7-y
now perimeter is
5+5+7+2(x-y)=27
2(7-2y)=10
-2y=-2
y=1
x=6 i hope it help any doubt
Answered by
1
Step-by-step explanation:
perimeter of pentagon = sum of all sides
- 27 = AB + BC + CD + DA + AE
- 27 = 5 + x - y + x + y + x - y + 5
- 27 - 10 = 3x - y
- y = 3x - 17________(i)
we have ,
BCDE is a rectangle .( As BC perpendicular to CD and BC//CD and BC//DE)
so,
BE = CD
7 = x+ y ________(ii)
substituting the value of y from equation (i) in equation (ii) we get ,
7=x+3x-17
4x = 24
x = 6
Now ,
substituting the value of x in equation (i)
y = 3x - 17 =3 × 6 - 17 = 1
Therefore x=6 and y =1.
hope it helps you . please mark it as brainlist
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