The floor of the rectangular room must be covered with linoleum. The perimeter of the room is 26 m, the length is 8 m.

The floor of the rectangular room must be covered with linoleum. The perimeter of the room is 26 m, the length is 8 m. How much money should be spent on linoleum if its price is 84 dollars per 1m2.

Since the price of linoleum is determined per m², in order to determine how much money is needed to buy it, we need to find the floor area in the room.
By the problem statement, we know the perimeter of the room and its length.
The perimeter of the rectangle is:
P = 2 * (x + y), where x is the length, y is the width of the rectangle.
x = 8, P = 26, we find y:
26 = 2 * (8 + y),
8 + y = 13,
y = 5.
Now we can calculate the floor area:
S = 5 * 8 = 40 m².
Thus, to buy linoleum you need:
40 * 84 = 3360 dollars.
Answer: 3360 dollars.