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
28 square miles
28 square miles
25 square miles
25 square miles
31 square miles
31 square miles
21 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.
Area of the larger rectangle:
Length = 7 miles
Width = 3 miles
Area = Length x Width = 7 x 3 = 21 square miles
Area of the left side rectangular extension:
Length = 6 miles
Width = 3 miles
Area = Length x Width = 6 x 3 = 18 square miles
Area of the right side rectangular extension:
Length = 1 mile
Width = 1 mile
Area = Length x Width = 1 x 1 = 1 square mile
Total area of the composite figure:
21 (larger rectangle) + 18 (left side rectangle extension) + 1 (right side rectangle extension) = 40 square miles
Therefore, the correct answer is not listed in the responses provided. The correct answer is 40 square miles.