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In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.

 

I thought that because we have two lengths that the answer was 14x2+48x2 but thats not the case.

Can someone explain?

Thanks in advance

 May 17, 2020
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Oh! I get it now! Because we know that intersection point splits the lines directly in half, we get half of line PR/2=7 and QS/2=24!

With this information we can use the pythagorean theorem for the hypotnouse wich is also the side length is 25. Because all of the side lengths are the same we can just do 25 times 4 which gives us 100!

So this means that the perimeter of PQRS is 100

 May 17, 2020

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