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16 Jun 2020, 09:20
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Difficulty:
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45% (02:20) correct
55%
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A point in a square is connected to the midpoints of each of the sides of the square as shown above. What is the area of the shded region?
A. 22 cm^2
B. 24 cm^2
C. 26 cm^2
D. 28 cm^2
E. 30 cm^2
Attachment:
2020-06-16_2015.png
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16 Jun 2020, 09:22
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16 Jun 2020, 09:41
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Area of AOE = Area of BOE =a {equal base and height}
Area of BOF = Area of COF =b
Area of DOG = Area of COG =c
Area of DOH = Area of AOH =d
a+b=32....(1)
b+c =x
c+d=16.......(2)
d+a = 20.....(3)
Add (1) and (2) and subtract (3) from them, we get
b+c = 32+16-20 = 28
Area of BOF = Area of COF =b
Area of DOG = Area of COG =c
Area of DOH = Area of AOH =d
a+b=32....(1)
b+c =x
c+d=16.......(2)
d+a = 20.....(3)
Add (1) and (2) and subtract (3) from them, we get
b+c = 32+16-20 = 28
Attachments
2020-06-16_2015.png [ 56.71 KiB | Viewed 5745 times ]
