a circular rug with a radius of 5 feet has a border of uniform width.?

The distance from the center of the rug to the outer edge of the border is x feet. Write a completely factored polynomial that gives the area of the border. PLEASE SHOW ME STEPS ON HOW TO SOLVE THIS???

Well, the area of a circle is A = πr^2.

Area of rug without border;

A = π(5^2)
A = 25π

Area of rug with border:

a = π(x^2)

The area of the border will be a – A, so:

πx^2 – 25π = Border
π(x^2 – 25) = Border

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