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The area of an animal pen is square feet. What are the lengths of the pen's sides if the pen has each given shape? Write your answers in simplified form. a. a square b. a rectangle with a longer side twice the length of the shorter side c. a rectangle with a longer side three times the length of the shorter side d. a right triangle with a height five times the length of the base
A square animal pen and a pen shaped like an equilateral triangle have equal perimeters. Find the length of the sides of each pen if the sides of the triangular pen are 15 less than twice a side of the square pen. (Hint: An equilateral triangle has three sides the same length.)
Let be the side length of the square so that the side length of an equilateral triangle is .
We are given that the perimeters are equal so we write:
Solve for :
So, the side length of the square pen is 22.5 and the side length of the triangular pen is .
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