SOLUTION: 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 lon

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Question 1153410: 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
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?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The longest side (A) was twice the length of the shortest side (C).
A=2C........eq.1
Side B was one and one-half times the shortest side (C).
B=1.5C........eq.2
C
D+=+C%2B3........eq.3
the perimeter of your kite must be 69:
A%2BB%2BC%2BD=69
2C%2B1.5C%2BC%2BC%2B3=69
5.5C=69-3
C=66%2F5.5
highlight%28C=12%29

now find other sides:

A=2C........eq.1
A=2%2A12
highlight%28A=24%29

B=1.5C........eq.2
B=1.5%2A12
highlight%28B=18%29

D+=+C%2B3........eq.3
D+=+12%2B3
highlight%28D+=+15%29

the dimensions of Mr.​ Shen's kite are: highlight%28A=24%29,highlight%28B=18%29,highlight%28C=12%29, and highlight%28D+=+15%29