Question

Question

Use the image to answer the 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 rectangles based on the given dimensions.

1. The first rectangle on the top left has a width of 4 miles (horizontal) and a height of 2 miles (vertical).

   • Area = width × height = 4 miles × 2 miles = 8 square miles.

2. The second rectangle to the right of the first has a width of 2 miles and a height of 2 miles (since it drops down and continues to the right).

   • Area = width × height = 2 miles × 2 miles = 4 square miles.

3. The lower part continues with the width of 2 miles and height of 2 miles as well, making it a rectangle similar to the second.

   • Area = width × height = 2 miles × 2 miles = 4 square miles.

Now, we sum up the areas of all three rectangles:

• Area of the first rectangle = 8 square miles.
• Area of the second rectangle = 4 square miles.
• Area of the lower rectangle = 4 square miles.

Total Area = 8 + 4 + 4 = 16 square miles.

Thus, the area of the city is 16 square miles.