Let's calculate the maximum possible length of one side of the wooden platform.
You have $45.00 to purchase supplies. The paint roller costs $9.75, and the paint is $17.00 per can.
To calculate the maximum possible length of one side of the platform, we need to figure out how many cans of paint you can buy with the money you have and how much area of the platform you can cover with those cans of paint.
First, let's calculate how many cans of paint you can buy. Subtract the cost of the paint roller ($9.75) from the total money you have ($45.00) to get the remaining amount for the paint.
$45.00 - $9.75 = $35.25
Now, divide the remaining amount for the paint ($35.25) by the cost of one can of paint ($17.00) to get the maximum number of cans of paint you can buy.
$35.25 / $17.00 ≈ 2.07
Since we can't buy a fraction of a can of paint, we'll round down to 2 cans of paint.
Now, we know that one can of paint covers approximately 375 square feet. Multiply the number of cans of paint (2) by the amount of square feet one can of paint covers (375) to get the maximum area you can cover.
2 x 375 = 750 square feet
The platform is square, so all sides have the same length. To find the maximum length of one side, we need to calculate the square root of the maximum area you can cover (750 square feet).
√750 ≈ 27.39
Therefore, the maximum possible length of one side of the wooden platform would be approximately 27.4 feet.