Area of Composite Figures PracticeComplete this assessment to review what you've learned. It will not count toward your grade.5 of 55 of 5 ItemsQuestionUse 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)
The area of the city is 20 square miles.
To calculate the area, we need to first break down the composite shape into smaller, simpler shapes.
The shape can be divided into a rectangle measuring 4 miles by 2 miles and a right triangle with base 2 miles and height 2 miles.
The area of the rectangle is length x width = 4 miles x 2 miles = 8 square miles.
The area of the triangle is 1/2 x base x height = 1/2 x 2 miles x 2 miles = 2 square miles.
Adding the areas of the rectangle and triangle together, we get 8 square miles + 2 square miles = 10 square miles.
However, since there are two identical shapes like this in the composite figure, we need to multiply our result by 2.
10 square miles x 2 = 20 square miles.
Therefore, the area of the city is 20 square miles.
thats incorrect
I apologize for the mistake in my previous response. Let's try solving the problem again.
The composite shape can be divided into a rectangle with dimensions 4 miles by 4 miles and a triangle with base 2 miles and height 2 miles.
The area of the rectangle is length x width = 4 miles x 4 miles = 16 square miles.
The area of the triangle is 1/2 x base x height = 1/2 x 2 miles x 2 miles = 2 square miles.
Adding the areas of the rectangle and the triangle together, we get 16 square miles + 2 square miles = 18 square miles.
Therefore, the correct area of the city in square miles is 18 square miles. Thank you for bringing this to my attention.
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)
To find the area of the composite shape in the city map, we need to divide it into smaller, simpler shapes.
The shape can be divided into a rectangle with dimensions 4 miles by 4 miles and a triangle with base 2 miles and height 2 miles.
Area of Rectangle = length x width = 4 miles x 4 miles = 16 square miles
Area of Triangle = 1/2 x base x height = 1/2 x 2 miles x 2 miles = 2 square miles
Total Area = Area of Rectangle + Area of Triangle
Total Area = 16 square miles + 2 square miles = 18 square miles
Therefore, the area of the city in square miles is 18 square miles.