A wall in Marcus's bedroom is 8 2/5 feet high and 18 1/3 feet long. If he paints 1/2 of the wall blue
If he paints half the wall blue, he'll have half a wall that's painted blue. What is the question?
how do I calculate how much square foot is blue if 1/2 is painted
To find out how much of the wall Marcus paints blue, we can multiply the dimensions of the wall by the fraction of the wall he is painting.
The height of the wall is 8 2/5 feet, which can be written as 8 + 2/5 = 40/5 + 2/5 = 42/5 feet.
The length of the wall is 18 1/3 feet, which can be written as 18 + 1/3 = 54/3 + 1/3 = 55/3 feet.
To find the area of the wall, we multiply the height by the length:
Area of the wall = (42/5 feet) * (55/3 feet)
To multiply fractions, we multiply the numerators together and the denominators together:
Area of the wall = (42 * 55) / (5 * 3) square feet
Area of the wall = 2310 / 15 square feet
Simplifying the fraction, we get:
Area of the wall = 154 square feet
Now, we can find out how much of the wall Marcus paints blue by multiplying the area of the wall by 1/2:
Blue painted area = (154 square feet) * (1/2)
Blue painted area = 77 square feet
Therefore, Marcus paints 77 square feet of the wall blue.
To find out how much of the wall Marcus paints blue, we need to calculate the area of the wall and then determine half of that area.
1. Calculate the area of the wall:
To find the area of a rectangle, multiply its length by its height.
The height of the wall is 8 2/5 feet, which can be written as an improper fraction: 42/5 feet.
The length of the wall is 18 1/3 feet, which can be written as an improper fraction: 55/3 feet.
Multiply the height and length: (42/5 feet) * (55/3 feet).
2. Simplify the fractions:
To simplify the fractions, we need to find the greatest common divisor (GCD) and divide both the numerator and denominator by it.
GCD of 42 and 5 is 1, and GCD of 55 and 3 is also 1.
Simplified multiplication: (42/5 feet) * (55/3 feet) = (42*55) / (5*3) feet².
3. Multiply the numerators and denominators:
Multiply the numerators: 42 * 55 = 2310.
Multiply the denominators: 5 * 3 = 15.
Result: 2310/15 feet².
4. Simplify the fraction:
To simplify the fraction, divide the numerator and denominator by their greatest common divisor, which is 15.
Dividing 2310 by 15: 2310 / 15 = 154.
Simplified area: 154 feet².
5. Calculate half of the area:
To find half of the area, divide the area by 2.
Half of the area: 154 feet² / 2 = 77 feet².
Therefore, Marcus will paint 77 square feet of the wall blue.