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In figure.1, ABCD is a rectangle. Find the values of x.
"
Given: A rectangle ABCD in fig. 1.
To do: To find the value of $x$ and $y$.
Solution:
Since it is a rectangle
$\therefore AB=CD$
$\Rightarrow x+y=30 ...............( 1)$
$AD=BC$
$x- y=14 ..............( 2)$
Adding $( 1)$ and $( 2)$, we get
$x+y+x-y=30+14$
$\Rightarrow 2x=44$
$\Rightarrow x=\frac{44}{2}$
$\Rightarrow x=22$
Putting $x = 22$ in equation $( 1)$
$22+y=30$
$\Rightarrow y=30-22$
$\Rightarrow y=8$
$\therefore x =22\ and\ y =8$
Updated on: 10-Oct-2022
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