Use the image to answer the question:
An illustration shows a rectangle extending upward on the top left and top right sides forming two more rectangles of varying width and length. The dimensions are as follows: The bottom of the rectangle is 7 miles. The extended left side is 6 miles. The vertical height of the left side rectangular extension is 3 miles. The vertical and horizontal lengths of the right side rectangular extension is 1 mile each. There are six right angle symbols at the vertices of the polygon.
What is the area of the composite figure?
To find the area of the composite figure, we first need to calculate the area of each individual rectangle and then add them up.
1. Area of the original rectangle:
Area = base x height
Area = 7 miles x 3 miles
Area = 21 square miles
2. Area of the left side rectangular extension:
Area = base x height
Area = 6 miles x 3 miles
Area = 18 square miles
3. Area of the right side rectangular extension:
Area = base x height
Area = 1 mile x 1 mile
Area = 1 square mile
Adding up the areas of all three rectangles:
Total area = 21 square miles + 18 square miles + 1 square mile
Total area = 40 square miles
Therefore, the area of the composite figure is 40 square miles.
use the image to answer the question
A composite shape is drawn using a rectangle and 2 triangles. A horizontally aligned rectangle is 9 centimeters long and 3 centimeters wide. A right triangle facing upward adjoins the rectangle on the left side marked 3 centimeters. A right triangle facing downward adjoins the rectangle on the right side. The base leg of both triangles measures 2 centimeters.
Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?
To find the total area of the piece of jewelry, we need to calculate the area of each individual shape - the rectangle and the two triangles, and then add them up.
1. Area of the rectangle:
Area = base x height
Area = 9 cm x 3 cm
Area = 27 square cm
2. Area of the left triangle:
Area = (1/2) x base x height
Area = (1/2) x 3 cm x 3 cm
Area = 4.5 square cm
3. Area of the right triangle:
Area = (1/2) x base x height
Area = (1/2) x 2 cm x 3 cm
Area = 3 square cm
Adding up the areas of the rectangle and the two triangles:
Total area = 27 square cm + 4.5 square cm + 3 square cm
Total area = 34.5 square cm
Therefore, the total area of the piece of jewelry is 34.5 square cm.
use the image to answer the question
A composite shape is drawn using a rectangle and 2 triangles. the horizontally aligned rectangle in the middle is 9 centimeters long and 3 centimeters wide. A right triangle facing upward on the right side of the rectangle adjoins the rectangle marked 3 centimeters. A right triangle facing downward on the left side is of the rectangle is also 3 centimeters. The base leg of both triangles measures 2 centimeters.
Hector designs the piece of jewelry shown below. All lengths are marked in centimeters. What is the total area of the piece of jewelry?
The total area of the jewelry can be calculated by finding the individual areas of the rectangle and the two triangles and then adding them up.
1. Area of the rectangle:
Area = length x width
Area = 9 cm x 3 cm
Area = 27 square cm
2. Area of the left triangle:
Area = (1/2) x base x height
Area = (1/2) x 2 cm x 3 cm
Area = 3 square cm
3. Area of the right triangle:
Area = (1/2) x base x height
Area = (1/2) x 2 cm x 3 cm
Area = 3 square cm
Adding up the areas of the rectangle and the two triangles:
Total area = 27 square cm + 3 square cm + 3 square cm
Total area = 33 square cm
Therefore, the total area of the piece of jewelry is 33 square cm.
Use the image to answer the question:
An illustration shows a rectangle extending upward on the top left and top right sides forming two more rectangles of varying width and length.
The dimensions are as follows: The base of the rectangle is 7 miles. The extended height on left side is 6 miles. The vertical height of the left side rectangular extension is 3 miles. The vertical and horizontal lengths of the right side rectangular extension is 1 mile each. There are six right angle symbols at the vertices of the polygon.
What is the area of the composite figure?
To find the area of the composite figure, we need to calculate the area of each individual rectangle and then add them up.
1. Area of the original rectangle:
Area = base x height
Area = 7 miles x 6 miles
Area = 42 square miles
2. Area of the left side rectangular extension:
Area = base x height
Area = 6 miles x 3 miles
Area = 18 square miles
3. Area of the right side rectangular extension:
Area = base x height
Area = 1 mile x 1 mile
Area = 1 square mile
Adding up the areas of all three rectangles:
Total area = 42 square miles + 18 square miles + 1 square mile
Total area = 61 square miles
Therefore, the area of the composite figure is 61 square miles.
actually the 6 miles was 3
Apologies for the mistake. Let's recalculate the area using the correct dimensions:
1. Area of the original rectangle:
Area = base x height
Area = 7 miles x 3 miles
Area = 21 square miles
2. Area of the left side rectangular extension:
Area = base x height
Area = 3 miles x 3 miles
Area = 9 square miles
3. Area of the right side rectangular extension:
Area = base x height
Area = 1 mile x 1 mile
Area = 1 square mile
Adding up the areas of all three rectangles:
Total area = 21 square miles + 9 square miles + 1 square mile
Total area = 31 square miles
Therefore, the correct area of the composite figure is 31 square miles. Thank you for pointing out the correction.
use the image to answer the question.
A composite shape is drawn, starting with a horizontally aligned rectangle. There is no measurement across the top, and the right side is labeled with a question mark. A horizontally aligned rectangular area on the bottom of the rectangle is marked as 8 feet in length and unknown in width is removed from the bottom right of the original rectangle. The remaining length on the right side is 2 feet. The remaining width on the left side of the rectangle is 3 feet. Corners are marked with right angles.
Tessa designs a supply closet as an addition to her house. The closet is pictured, and its total area is 36 square feet. What is the length in feet of the side of the supply closet labeled with the question mark?(1 point)