You need to lay communications cable around the perimeter of three offices, each 8' by 10'. How much cable do you need?

Does the cable need to surround each office?

3(2*8 + 2*10) = ?

Or aroundall the offices?

2(3*8 + 10) = ?

or

2(3*10 + 8) = ?

depending on the arrangement of the offices.

To find the total length of cable needed to lay around the perimeter of the three offices, you first need to calculate the perimeter of each office.

The formula to find the perimeter of a rectangle is P = 2 * (length + width).

For each office, the length is 8 feet and the width is 10 feet. Therefore, the perimeter of one office is:

P1 = 2 * (8 + 10) = 2 * 18 = 36 feet

Since you have three identical offices, you can multiply the perimeter of one office by three to find the total perimeter:

Total perimeter = P1 * 3 = 36 feet * 3 = 108 feet

So, you will need a total of 108 feet of communications cable to lay around the perimeter of the three offices.