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 longes

Algebra ->  Finance -> 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 longes      Log On


   

Question 1153518:
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 parenthesis 3 inches right parenthesis

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 MathLover1(20850) 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