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 smaller sections based on the given measurements.

1. The top horizontal section is 4 miles wide and 2 miles tall.

   • Area of this section = width * height = 4 miles * 2 miles = 8 square miles.

2. The right vertical section is 2 miles wide and also 2 miles tall.

   • Area of this section = width * height = 2 miles * 2 miles = 4 square miles.

3. Now, we sum the areas of these two sections to find the total area of the city:

   • Total Area = Area of the top section + Area of the right section
   • Total Area = 8 square miles + 4 square miles = 12 square miles.

Thus, the area of the city is 12 square miles.