SOLUTION: The sides of an equilateral triangle have the same length as the length of a rectangle. The length of the sides in the rectangle are 4 in longer than the width. The perimeter of th

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Question 1053336: The sides of an equilateral triangle have the same length as the length of a rectangle. The length of the sides in the rectangle are 4 in longer than the width. The perimeter of the rectangle is 6 in more than the perimeter of the triangle. Find the width of the rectangle.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
w the width of the rectangle.
P(triangle) = 3(w+4)= 3w+%2B+4
P(rectangle) = 2(w+4) + 2w = 4w+%2B+8
4w + 8 = (3w+4) + 6
w + 8 = 4 + 6
w = 4, width of the rectangle.
checking (length of rectangle = 8 w%2B4
3*8 = 2*8 + 2*4 = 24 CHECKS!