Use the image to answer the question.

Question

A composite shape is drawn. The vertical width on the left side from top to bottom shows no measurement. The shape is drawn with straight lines and right angles. A horizontal line marked 4 miles is drawn from the upper left corner. A vertical line marked 2 miles drops down from the the top horizontal line. A horizontal line marked 2 miles continues to the right. A vertical line marked 2 miles drops down to become the right edge of the shape. A horizontal line of unknown length is drawn leftward. A vertical line marked 2 miles drops down to the base. A baseline marked 2 miles meets the width side to form the lower left corner.

A city map is shown. What is the area of the city in square miles?

(1 point)
square miles

Answer 1

To find the area of the composite shape described, we can break it down into two rectangles based on the provided dimensions.

1. First Rectangle:

   • The dimensions are given as:
     • Width = 4 miles (horizontal line at the top)
     • Height = 2 miles (vertical line dropping down from the top)

   The area of the first rectangle = Width × Height = 4 miles × 2 miles = 8 square miles.

2. Second Rectangle:

   • The dimensions are given as:
     • Width = 2 miles (horizontal line inside the shape)
     • Height = 2 miles (vertical line dropping down to the base)

   The area of the second rectangle = Width × Height = 2 miles × 2 miles = 4 square miles.

Now, we can find the total area of the city:

Total Area = Area of the first rectangle + Area of the second rectangle
Total Area = 8 square miles + 4 square miles = 12 square miles.

The area of the city is 12 square miles.