Q:

Find the area of the composite figure

Accepted Solution

A:
Answer:74 in²Step-by-step explanation:The easiest way to find the area is to imagine the rectangle as a whole rectangle, then subtract the area of the empty space.The area of the whole rectangle can be found with:A = b · hA = 9 in · 11 inA = 99 in²So the area of the entire rectangle (with the empty space included) is 99 in².In order to find the area of the composite figure, you need to subtract the area of the empty space, which can be found with:A = b · hA = 5 in · hIn order to find the height of the empty space, we can take the whole side (11 in) and subtract the values already there (4 in and 2 in).11 in - (4 in + 2 in) = 5 inSo the height is 5 in:A = 5 in · 5 inA = 25 in²The area of the composite figure is:A = 99 in² - 25 in²A = 74 in²