A printer measuring 25" x

By 75", at your new job requires a uniform space around it. If it is going to be centered on the rectangular table that a perimeter of 264", how much uniform space wall surround the printer?

Let the uniform space wall, surrounding the printer be x", then since the printer is to be centered on a rectangular table, the space at each side of the table is x".

Thus, the dimensions of the table is given by 25" + 2x" by 75 + 2x"

Given that the perimeter of the table is 264, recal that the perimeter of a triangle is 2 (length + width), thus

2 (25 + 2x + 75 + 2x) = 264

2 (100 + 4x) = 264

200 + 8x = 264

8x = 264 - 200 = 64

x = 64/8 = 8

Therefore, the uniform space that will surrond the printer is 8".