SOLUTION: Quadrilateral MATH is a square. If MA = 2x – 5 and AT = x + 10, find the perimeter of the square.

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Question 1031306: Quadrilateral MATH is a square. If MA = 2x – 5 and AT = x + 10, find the perimeter of the square.
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
All sides of a square are equal so MA = AT
                               2x - 5 = x + 10 
                                    x = 15

So MA = 2(15) - 5 = 30 - 5 = 25.  As a check AT = (15) + 10 = 25

So the four sides of the square MATH are 15 each. MA = AT = TH = HM = 15

So the perimeter is MA + AT + TH + HM = 15 + 15 + 15 + 15 = 60

And the area is 15x15 = 225.



Edwin

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

Quadrilateral MATH is a square. If MA = 2x – 5 and AT = x + 10, find the perimeter of the square.

Perimeter: highlight_green%28matrix%281%2C2%2C+100%2C+units%29%29