Question 407397: The ratio of the measures of the sides of a quadrilateral is 2:3:5:7. If the figure's perimeter is 68, find the length of each side.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Since "The ratio of the measures of the sides of a quadrilateral is 2:3:5:7", we know that the four sides are 2x, 3x, 5x, and 7x units long for some unknown number x.
Because "the figure's perimeter is 68", we can say that
Start with the given equation.
Combine like terms on the left side.
Divide both sides by to isolate .
Reduce.
Now that we know that , this means that
2x=2(4) = 8
3x=3(4) = 12
5x=5(4) = 20
7x=7(4) = 28
Notice that 8+12+20+28 = 68
So the lengths of the 4 sides are: 8, 12, 20, and 28 units.
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Jim
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