The perimeter of a kite is 52 meters. if one side measures 19 meters find the measure of the opposite side.

16.5 meters

14 meters

7 meters

19 meters

The answer is:  [C]:  "7 m" .

Using the formula for the perimeter of kite:

Perimeter:
P = 2(a+b) ;  a = length of side "a" ; b = length of side "b";


Given: The Perimeter, "P: = 52 m ;   b = 19 m;

52 = 2(a+19) ; solve for "a" :

52 = 2a + 38 ;  Subtract "38" from each side of the equation;

52 - 38 = 2a + 38 - 38 ;

to get :  14 = 2a ;  ↔ 2a = 14 ;
Now, divide EACH SIDE of the equation by "2";                       
                                       to isolate "a" on one side of the equation ; and
                                        to solve for "a" ;

2a = 14 ;

2a/2 = 14/2 ;

a = 7 m
 
The answer is:  " 7 m " .