Question 261056
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An equilateral triangle has three sides of equal measure.  The perimeter is the distance around the figure, so divide 45 by 3 to get the measure of one side of the equilateral triangle.


A rectangle perimeter is given by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P\ =\ 2l\ +\ 2w]


But you know that the width is one third of the length, which is to say that the length is 3 times the width, and you know the perimeter to be 48 so you can write:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(3w)\ +\ 2w\ =\ 48]


Solve the above for *[tex \Large w] then multiply by 3 to determine the length of the rectangle.  Then solve for the measure of the side of the equilateral triangle by dividing 45 by 3.  Which is longer?



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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