Question 1153521:
Mr. Shen wished to enter the Orange Kite Competition with an innovative kite of his own design. He did tests that showed an irregular quadrilateral design was best. The longest side (A) was twice the length of the shortest side (C). Side B was one and one-half times the shortest side (C). Side D needed to be 3
" left 3 inches right longer than side C. If the competition required that the perimeter of your kite must be 69",
what were the dimensions of Mr. Shen's kite?
An irregular quadrilateral with sides labeled A, B, C, and D.
Length of side A equals
"
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! A is the longest side
C is the shortest side
A = 2C
B = 1.5C]
C = C
D = C + 3 if i understood you correctly.
A + B + C + D = 69
convert all to C to get:
2C + 1.5C + C + C + 3 = 69
combine like terms to get:
5.5C + 3 = 69
subtract 3 from both sides to get:
5.5C = 66
solve for C to get:
C = 66/5.5 = 12
you get:
A = 24
B = 18
C = 12
D = 15
sum of all sides is 24 + 18 + 12 + 15 = 69
this confirms the solution is correct.
solution is side A = 24, B = 18, C = 12, D = 15.
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