Area and Perimeter Unit Test

Question

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

25 square miles
25 square miles

31 square miles
31 square miles

28 square miles
28 square miles

21 square miles

Answer 1

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 main rectangle:
Length = 7 miles, Width = 6 miles
Area = Length x Width = 7 miles x 6 miles = 42 square miles

Area of the left side rectangle extension:
Length = 6 miles, Width = 3 miles
Area = Length x Width = 6 miles x 3 miles = 18 square miles

Area of the right side rectangle extension:
Length = 1 mile, Width = 1 mile
Area = Length x Width = 1 mile x 1 mile = 1 square mile

Total area = 42 square miles + 18 square miles + 1 square mile = 61 square miles

Therefore, the area of the composite figure is 61 square miles.

Answer 2

a b c or d

Answer 3

The correct answer is:

d) 21 square miles