Answer:
The percentage of the painting that will be beige is 80.83%.
Step-by-step explanation:
The whole rectangular beige background is equal to 100% beige. This means that the are of the entire rectangular background, 720 in.², is also equal to 100% beige. So, to find the area of the beige background that is not covered by the red "H", I first need to find the area of the "H". After finding the total area of "H", I can then subtract that to find the area of the beige area. Then, I will find the percentage of the beige area.
To find the area of "H", I will break up the "H" into different rectangular parts and find their area, then add all the numbers up together.
See upload.
So the total area of "H" is Â
60 in. + 18 in. + 60 in. = 138 in.²
So, subtract the are of "H" from the total area of the entire rectangular figure.
720 in.² - 138 in.² = 582 in.²
The total area of the beige area is 582 in.²
So, to find the percentage of 582 in.² out of 720 in.², divide 582 in.² by 720 in.²  :
582 in.² / 720 in.² =
80.83 %
So, 80.83% of the entire rectangular figure will be beige colored.