You must find the length of the missing diagonal before you can find the sum of the two perpendicular diagonals. 

To find the missing diagonal, apply the area formula: 




This question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal. 


\(\displaystyle 1800=\frac{40\times diagonal B}{2}\)

\(\displaystyle 1800\times2=40\times diagonalB\)

\(\displaystyle 3,600=40(diagonalB)\)

\(\displaystyle diagonal B=\frac{3,600}{40}=90\)

Therefore, the sum of the two diagonals is: 

\(\displaystyle 90+40=130\)

First find the length of the missing diagonal before you can find the sum of the two perpendicular diagonals. 

To find the missing diagonal, apply the area formula: 




This question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal. 


\(\displaystyle 51=\frac{17\times diagonal B}{2}\)

\(\displaystyle 51\times2=17\times diagonalB\)

\(\displaystyle 102=17(diagonalB)\)

\(\displaystyle diagonal B=\frac{102}{17}=6\)

Therefore, the sum of the two diagonals is: 

\(\displaystyle 17+6=23\)

This problem can be solved by applying the area formula: 



Since this question provides the area of the kite and length of one diagonal, plug that information into the equation to solve for the missing diagonal. 

Thus the solution is: 

\(\displaystyle 855=\frac{38\times diagonal B}{2}\)

\(\displaystyle 855\times2=38\times diagonalB\)

\(\displaystyle 1,710=38(diagonalB)\)

\(\displaystyle diagonal B=\frac{1,710}{38}=45\)

The long diagonal of a kite always bisects the short diagonal. Therefore, if one side of the bisected diagonal is \(\displaystyle 4\) inches, the entire diagonal is \(\displaystyle 8\) inches. It does not matter how long the long diagonal is.

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.   

The solution is:

\(\displaystyle 30=8+8+2(side)\), where \(\displaystyle side=\) one of the two missing sides. 

\(\displaystyle 30=16+2(sides)\)

\(\displaystyle 2(sides)=30-16 = 14\)

\(\displaystyle side=\frac{14}{2}=7\)

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.   

The solution is:

\(\displaystyle 300=92+92+2(side)\), where \(\displaystyle side=\) one of the two missing sides. 

\(\displaystyle 300=184+2(sides)\)

\(\displaystyle 2(sides)=300-184 = 116\)

\(\displaystyle side=\frac{116}{2}=58\)

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.    

The solution is:

\(\displaystyle 500=137+137+2(side)\), where \(\displaystyle side=\) one of the two missing sides. 

\(\displaystyle 500=274+2(sides)\)

\(\displaystyle 2(sides)=500-274 = 226\)
Since the remaining two sides have a total length of \(\displaystyle 226\), side \(\displaystyle x\) must be \(\displaystyle \frac{226}{2}=113\) 

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.    

To find the sum of the remaining two sides:

\(\displaystyle 88=18+18+2(side)\)\(\displaystyle 188=40+40+2(side)\), where \(\displaystyle side=\) one of the two missing sides. 

\(\displaystyle 88=36+2(side)\)

\(\displaystyle 2(side)=88-36=52\)

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. This problem also provides the perimeter measurement of the kite. Therefore, use the information that is provided to find the difference between the perimeter and the sum of the congruent adjacent sides provided in the question.    

To find the sum of the remaining two sides:

\(\displaystyle 38=12+12+2(side)\), where \(\displaystyle side=\) one of the two missing sides. 

\(\displaystyle 38=24+2(side)\)

\(\displaystyle 2(side)=38-24=14\)

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.   

The solution is:

\(\displaystyle 55=15+15+2(side)\), where \(\displaystyle side=\) one of the two missing sides. 

\(\displaystyle 55=30+2(sides)\)

\(\displaystyle 2(sides)=55-30 = 25\)

\(\displaystyle side=\frac{25}{2}=12.5\)