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the perimeter of a kite is 66cm. The lenght of one of its sides is 3cm less than twice the lenght of another. Find the length of each side of the kite

 Feb 6, 2015

Best Answer 

 #1
avatar+94611 
+5

Let  the shorter side be = x

Then the longer side = 2x - 3

So we have

2[x + (2x - 3)] = 66   divide both sides by 2

x + 2x - 3  = 33         simplify

3x - 3   = 33              add 3 to both sides

3x = 36                    divide both sides by 3

x = 12 cm = the shorter side

And 2x - 3  = 2(12) - 3  = 21 cm = the longer side

 

 Feb 6, 2015
 #1
avatar+94611 
+5
Best Answer

Let  the shorter side be = x

Then the longer side = 2x - 3

So we have

2[x + (2x - 3)] = 66   divide both sides by 2

x + 2x - 3  = 33         simplify

3x - 3   = 33              add 3 to both sides

3x = 36                    divide both sides by 3

x = 12 cm = the shorter side

And 2x - 3  = 2(12) - 3  = 21 cm = the longer side

 

CPhill Feb 6, 2015

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