SOLUTION: A square and an equilateral triangle have equal perimeters. If a side of the square is 3 units less than a side of the triangle, what is the area of the square? Thank you in ad

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Question 884808: A square and an equilateral triangle have equal perimeters. If a side of the square is 3 units less than a side of the triangle, what is the area of the square?
Thank you in advance :)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What do you know?
Let x = side length of square; 4x is perimeter, x%5E2 is area
Let s = side length of equilateral triangle; 3s is perimeter

What does the problem description tell you?
x=-3%2Bs; 4x is perimeter for square; 3s is perimeter for traingle; 4x=3s.

Solve Equations:
System is x=s-3 and 4x=3s.
4%28s-3%29=3s
4s-12=3s
highlight%28s=12%29
-
x=-3%2Bs
x=-3%2B12
highlight%28x=9%29

Area of the square is highlight%28highlight%28x%2As=9%2A12%29%29.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A square and an equilateral triangle have equal perimeters. If a side of the square is 3 units less than a side of the triangle, what is the area of the square?
Thank you in advance :)


Area of square = 9%5E2, or highlight_green%28highlight_green%2881_units%5E2%29%29

You can do the check!! 



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