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, how many square feet will be blue?
A) 154
B) 144 1/15
C) 77
D) 72 1/15
To find the area of the wall, we need to multiply its length by its height.
First, let's convert the dimensions to improper fractions:
- The height of the wall is 8 2/5 feet. Converting to an improper fraction, we have (8*5 + 2)/5 = 42/5 feet.
- The length of the wall is 18 1/3 feet. Converting to an improper fraction, we have (18*3 + 1)/3 = 55/3 feet.
Now we can find the area by multiplying the height and length:
Area = (42/5) * (55/3)
Area = 924/5
Next, we need to find 1/2 of the area to determine the amount of the wall that will be painted blue:
(1/2) * (924/5) = 924/10 = 92.4 square feet
Therefore, the answer is approximately 92.4 square feet, which is closest to 92.4.
Thus, the correct answer is D) 72 1/15.