Question

A wall in Marcus bedroom is 8 1/3 feet high and 16 1/5 feet long if he paints 1/3 of the wall blue how many square feet will be blue

Answer 1

First, we need to find the area of the wall. The formula we use is A=bh. For this problem, b = 16 1/5 ft and h = 8 1/3 ft. Plug the given information into the equation like so:

`A= 16 (1)/(5) *8 (1)/(3) \\ A= ( (16*5)/(5)+ (1)/(5))*( (8*3)/(3)+ (1)/(3)) \\ A= ( (80)/(5)+ (1)/(5))*( (24)/(3)+ (1)/(3)) \\ A= (81)/(5)* (25)/(3) \\ A= (81*25)/(5*3) \\ A= (2025)/(15) \\ A= 135`
From this, we know the area of the entire wall is 135 sq ft.

To find out how much was painted, we multiply the total area by the ratio painted:

`(1)/(3)*135 \\ (135)/(3) \\ 45`
45 square feet of the wall was painted blue.

Hope this helps!