Problema Solution

A rare square Turkish rug is sold at auction. The area of the Turkish rug in square feet is 357 more than its perimeter in feet. Find the length in feet of the side

Answer provided by our tutors

Let 'x' represent the length of the side, x>0.

The are of the square with side x is: A = x^2

The perimeter of the square is: P = 4x

A = 357 + P

x^2 = 357 + 4x

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click here to see the equation solved for x

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x = 21 ft

We need to ignore the negative solution -17 since the length of the side can only be positive.

The length of the side is 21 feet.