1. Nicole plans to apply 2 coats of varnish to a square floor measuring 12 feet on each side. if 1 quart of varnish covers 150 square feet, what is the minimum number of quarts of varnish nicole needs for 2 coats of varnish?
A) 1
B) 2
C) 3
D) 4
So this question is really blowing my mind. How would I figure this problem out. It only gives me the sides of the floor and I feel like in order to solve this I need more information and the length. If someone could help that would mean the world to me. Thank you.
First, note that the floor is square.
The formula for the area of a square is
A = LW
or
A = s^2
Can you take it from there?
I'm still confused...
The side of the square is 12 feet.
A = 12^2
A = 144 square feet
She wants to give the floor 2 coats -- so the total area to be covered is 288 square feet.
How many quarts of varnish does she need?
Oh ok! So about 3. There's gonna be a little extra but if rounded it would be 3.
One quart covers 150 square feet; two quarts cover 300 square feet.
Aren't two quarts enough?
Oh yeah! I'm so sorry I got 300 but somehow came up with 3 quarts. Sorry about that.
To figure out the minimum number of quarts of varnish that Nicole needs for two coats on her 12 ft by 12 ft square floor, you can follow these steps:
1. Calculate the area of the square floor: Since the floor is square and each side measures 12 feet, you can find the area by multiplying the length of one side by itself. 12 ft * 12 ft = 144 square feet.
2. Determine the total area that needs to be covered with two coats: Nicole wants to apply two coats of varnish, so you need to double the area calculated in step 1. 144 square feet * 2 = 288 square feet.
3. Find out the coverage area per quart of varnish: The problem states that 1 quart of varnish covers 150 square feet.
4. Divide the total area by the coverage area per quart: Divide the total area to be covered with two coats (288 square feet) by the coverage area per quart (150 square feet). 288 square feet / 150 square feet = 1.92.
5. Round up to the nearest whole number: Since you can't have a fraction of a quart, you need to round up to the nearest whole number. In this case, the answer is 2.
Therefore, Nicole needs a minimum of 2 quarts of varnish for two coats on her square floor.
So, the correct answer is B) 2 quarts.