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Question

Find the values of x+y in the given rectangle.

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A
2
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B
6
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C
5
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D
7
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Solution

The correct option is C 5
The given figure is a rectangle.
Therefore, the opposite sides are equal.
x+3y=13 .....(1)
and 3x+y=7 ....(2)
Subtracting (2) from the product (1) ×3, we get
8y=32
y=4
Putting this value in equation (1), we get
x+3(4)=13
x+12=13
x=1
Therefore, x+y=4+1=5.

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