Question

Find the values of $x+y$ in the given rectangle.

• A. $2$
• B. $6$
• C. $5$
• D. $7$

Answer 1

The correct option is C $5$

The given figure is a rectangle.

Therefore, the opposite sides are equal.

$x+3y=13$ .....(1)

and $3x+y=7$ ....(2)

Subtracting (2) from the product (1) $\times 3$, we get

$8y=32$

$\Rightarrow y=4$

Putting this value in equation (1), we get

$x+3\left(4\right)=13$

$\Rightarrow x+12=13$

$\Rightarrow x=1$

Therefore, $x+y=4+1=5$.