Question

find the value of x and y in the following rectangle ​

Answer 1

Answer:

x=1,y=4

Step-by-step explanation:

In a rectangle opposite sides are equal

hence, 3x+y=7_____1

x+3y=13______2

solve eq1 and two we get

x=1 and y=4

Answer 2

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• Given figure is a rectangle
• length of sides are x + 3y , 7 , 13 , 3x + y respectively

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• Value of x and y

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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• We all know that opp. Side of rectangle are equal

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Therefore :-

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x + 3y =13 ---- ( i )

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3x + y = 7 ---- ( ii )

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• Adding eq ( i ) and ( ii )

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x + 3y + 3x + y = 13 + 7

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4x + 4y = 20

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4 ( x + y ) = 20

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x + y = 20 / 4

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x + y = 5 ----- ( iii )

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• Subtracting eq ( ii ) from ( i )

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3y + x - 3x - y = 13 - 7

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2y - 2x = 6

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2 ( y - x ) = 6

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y - x = 6 / 2

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y - x = 3 ------ ( iv )

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• Adding eq ( iii ) and ( iv )

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x + y + y - x = 5 + 3

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2y = 8

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y = 8 / 2

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y = 4

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• Putting value of y in eq ( iv )

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y - x = 3

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4 - x = 3

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- x = 3 - 4

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- x = - 1

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x = 1⠀

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• Value of x = 1
• value of y = 4