Book Maths Puzzle Algebra

What is the set of all vectors x in Rn that satisfy Ax=x?

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Book Other Question

The Brown Family wants to carpet their livig room, which is 13 ft. by 16 ft. They want a border of uniform width of wood floor to show around the carpet. How wide should the border be if they can afford to carpet only 108 sq. ft?

Please tell me in steps how to solve this.

Thanks A rectangle has a length 2x-7 and 5x+4. What is the expression that represents its perimeter