Questions on Algebra: Systems of Linear Equations answered by real tutors!

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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?: 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(1345) About Me  (Show Source):
You can put this solution on YOUR website!
a=k(d[1])(d[2]) find the constant k
:
30=k(10)(6)
30=60k
k=1/2
:
now plug in next set of diagonals using the found value of k to find the area desired
:
a=(1/2)(8)(13)
highlight(a=52)sq inches