SOLUTION: The perimeter of an equalateral triangle is 45 inches. A rectangle whose width is 1/3 its length has a perimeter of 48 inches. Which figure has the longest side? explain im lost

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Question 261056: The perimeter of an equalateral triangle is 45 inches. A rectangle whose width is 1/3 its length has a perimeter of 48 inches. Which figure has the longest side? explain
im lost
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


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:



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:



Solve the above for 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
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