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
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incorrect.
The area of the city is 16 square miles.
To find the area of the composite shape, we can break it down into smaller rectangles and squares and then add up their areas.
- The top rectangle is 4 miles by 2 miles, so its area is 4 x 2 = 8 square miles.
- The right rectangle is 2 miles by 2 miles, so its area is 2 x 2 = 4 square miles.
- The bottom rectangle is 8 miles by 2 miles, so its area is 8 x 2 = 16 square miles.
- Finally, the small square on the bottom left is 2 miles by 2 miles, so its area is 2 x 2 = 4 square miles.
Adding up all the areas, we get 8 + 4 + 16 + 4 = 32 square miles. However, since the bottom left corner is not part of the city area, we subtract its area of 4 square miles to get the final answer of 32 - 4 = 28 square miles.