If perimeter of the given figure is $ 68.3 \mathrm{~cm}, $ then the sum of $ x+y $ is


(1) $ 8.6 \mathrm{~cm} $
(2) $ 8.1 \mathrm{~cm} $
(3) $ 9.6 \mathrm{~cm} $
(4) $ 9.8 \mathrm{~cm} $"

Given:

Perimeter of the given figure is \( 68.3 \mathrm{~cm} \).
To do:

We have to find the sum of \( x+y \).

Solution:

The perimeter of a figure is the total length of its sides or edges.
Therefore,

$(x+1.7+8.2+4.3+7.2+4.6+y+4.2+3.8+2.6+4.4+3.8+4.2+3.6+4.5+1.4)\ cm=68.3\ cm$

$x+y+58.5=68.3$

$x+y=68.3-58.5$

$x+y=9.8\ cm$

The sum of $x+y$ is $9.8\ cm$.