SOLUTION: The area of a kite varies jointly with the lengths of its two diagonals. If a kite with the area 30 inches squared has one diagonal of length 10 inches and the other diagonal of l

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The area of a kite varies jointly with the lengths of its two diagonals. If a kite with the area 30 inches squared has one diagonal of length 10 inches and the other diagonal of l      Log On


   

Question 168319: The area of a kite varies jointly with the lengths of its two diagonals. If a kite with the area 30 inches squared has one diagonal of length 10 inches and the other diagonal of length 6 inches, what is the area of a kite with diagonals of length 8 inches and 13 inches?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
a=k%28d%5B1%5D%29%28d%5B2%5D%29 find the constant k
:
30=k%2810%29%286%29
30=60k
k=1%2F2
:
now plug in next set of diagonals using the found value of k to find the area desired
:
a=%281%2F2%29%288%29%2813%29
highlight%28a=52%29sq inches