"
">

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 $( 1)$

$22+y=30$

$\Rightarrow y=30-22$

$\Rightarrow y=8$

$\therefore x =22\ and\ y =8$

Tutorialspoint
Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

43 Views

Kickstart Your Career

Get certified by completing the course

Get Started
Advertisements