SOLUTION: 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.

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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) About Me  (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 2x%2B3x%2B5x%2B7x=68




2x%2B3x%2B5x%2B7x=68 Start with the given equation.


17x=68 Combine like terms on the left side.


x=%2868%29%2F%2817%29 Divide both sides by 17 to isolate x.


x=4 Reduce.


Now that we know that x=4, 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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