Question

ABCD is a rectangle find the value of x and y AB =30 DA= 14 DC= x+y CB=x-y
Find the values of x and y

Answer 1

ABCD Is A Rectangle, In Which Pair Of Opposite Sides are Equal
So, AB = CD
AD = BC
30 = x + y
14 = x - y
By Solving The Equations
x = 22
y = 8

Answer 2

Answer:

$value \: of \: x = 22,\: and\:y=8$

Step-by-step explanation:

$Given \: ABCD \: is \: a \: rectangle$

$AB=30,\:DA=14,\:\\DC=x+y,\:CB=x-y$

$We\:know \: that ,\\Opposite \: sides\: are \: equal \: in \: \\a \: rectangle$

$DC=AB$

$\implies x+y=30---(1)$

$and\\CB=DA$

$\implies x-y=14 ---(2)$

$Add \: equation \:(1)\: and\:(2) ,\: we \: get$

$\implies 2x=44$

$\implies x = \frac{44}{2}=22$

$Now,\: put \: x = 22\: in \: equation \: (1), \: we \: get ,\\22+y=30\\\implies y=33-22\\\implies y=8$

Therefore,.

$value \: of \: x = 22,\: and\:y=8$

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