Answer:
Explanation:
Take first the direction along one wall. If there are n tables they occupy a length of n × 4 feet.
There are (n - 1) 5-feet spaces between them. That is additional 5 × (n - 1) feet.
Also, each table on the ends are separated 5 feet from the wall. That is an additional 5 feet + 5 feet = 10 feet length.
The total length occupied by n tables is 4n + 5(n-1) + 10 = 4n + 5n - 5 + 10 =9n + 5 feet
The situation is the same in the direction of the perpendicular walls: 9n - 5 feet.
Thus, the area is (9n + 5)² = 1288 ft²
Solve the equation:
[tex](9n+5)^2=1288ft^2[/tex]
[tex](9n+5)=\sqrt{1,288ft^2}[/tex]
9n + 5 = 35.89
9n = 30.89
n = 3.4
You must round to whole number of tables. That is 3 tables in one direction and 3 tables in the other direction.
Then, the number of tables is 3 × 3 = 9 ← answer
