in the figure ABCD is a rectangle,find the values of x and y
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Step-by-step explanation:Quadrilateral ABCD is a rectangle.
sideAD=14cm and sideAB=30cm
sideAB=sideDC=30cm.....opp. sides of a rectangle
sideAD=sideBC=14cm.....opp. sides of a rectangle
∴x+y=30.......(1)...given
and x-y=14......(2)....given
adding eq. (1) and (2)
x+y=30
+x-y=14
----------------
2x=44
x=44/2
x=22
put x=22 in eq. (1)
x+y=30
22+y=30
y=30-22
y=8
∴x=22 and y=8
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