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
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.