Question 1153410

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+3}}}........eq.3

the perimeter of your kite must be {{{69}}}:

{{{A+B+C+D=69}}}
{{{2C+1.5C+C+C+3=69}}}

{{{5.5C=69-3}}}

{{{C=66/5.5}}}

{{{highlight(C=12)}}}


now find other sides:


{{{A=2C}}}........eq.1
{{{A=2*12}}}
{{{highlight(A=24)}}}


{{{B=1.5C}}}........eq.2
{{{B=1.5*12}}}
{{{highlight(B=18)}}}


{{{D = C+3}}}........eq.3
{{{D = 12+3}}}
{{{highlight(D = 15)}}}


the dimensions of Mr.​ Shen's kite are: {{{highlight(A=24)}}},{{{highlight(B=18)}}},{{{highlight(C=12)}}}, and {{{highlight(D = 15)}}}