Area and Perimeter Unit Test
3 of 153 of 15 Items
Question
Use the image to answer the question.
An illustration shows a rectangle extending upward on the top left and top right sides forming two more rectangles of varying width and length. The dimensions are as follows: The bottom of the rectangle is 7 miles. The extended left side is 6 miles. The vertical height of the left side rectangular extension is 3 miles. The vertical and horizontal lengths of the right side rectangular extension is 1 mile each. There are six right angle symbols at the vertices of the polygon.
What is the area of the composite figure?
(1 point)
Responses
31 square miles
31 square miles
28 square miles
28 square miles
21 square miles
21 square miles
25 square miles
To find the area of the composite figure, we need to find the area of each individual rectangle and then add them together.
First, find the area of the main rectangle:
Area = base x height
Area = 7 miles x 3 miles
Area = 21 square miles
Next, find the area of the left side rectangle:
Area = base x height
Area = 6 miles x 3 miles
Area = 18 square miles
Finally, find the area of the right side rectangle:
Area = base x height
Area = 1 mile x 1 mile
Area = 1 square mile
Now, add the areas of all three rectangles together:
21 square miles + 18 square miles + 1 square mile = 40 square miles
Therefore, the area of the composite figure is 40 square miles. The closest option provided is 31 square miles, but the correct answer is actually 40 square miles.