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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
The area of the city is 6 square miles.
To find the area of the composite shape, we need to calculate the area of each individual rectangle and then sum them up.
1. Rectangle on the left: 4 miles x 2 miles = 8 square miles
2. Rectangle on the top: 2 miles x 2 miles = 4 square miles
3. Rectangle on the right: 2 miles x 2 miles = 4 square miles
Total area = 8 + 4 + 4 = 16 square miles
However, since part of the rectangle on the left has no measurement, we need to subtract that area from the total. The missing area is a 2 miles x 2 miles rectangle.
16 - 4 = 12 square miles
Therefore, the area of the city is 12 square miles.