A wall in Marcus's bedroom is 8 2/5 feet high and 16 2/3 feet long If he paints 1/2 of the wall blue, how many square feet will be blue?
We can simplify across between the 5 and the 50 and also between the 42 and the 3.
To find the area of the walk in Marcus's bedroom, we have to use the formula: A = b h. However, to multiply these two values, we should first transform them into improper fractions.
8 2/5 : 8 5 = 40 + 2 = 42/5
16 2/3 : 16 3 = 48 + 2 = 50/3
Now, we can begin to solve the problem.
Area of Wall = base height
Area = (50/3) (42/5)
Now, we simply multiply the fractions.
Area = 140 square feet
However, this value represents the area of a whole wall of Marcus's room. To find the area of the 1/2 of the wall that he plans to paint blue, we must multiply this value by 1/2.
140 0.5 = 70 square feet
Therefore, Marcus is going to paint 70 square feet of the wall blue.