The area of the figure can be calculated by finding the area of the entire polygon and then subtracting the area of the missing rectangle.
Area of entire polygon:
(6 + 6) * 8 = 12 * 8 = 96 square units
Area of missing rectangle:
2 * 8 = 16 square units
Area of the figure:
96 - 16 = 80 square units
The correct answer is not provided in the options, but the correct area of the figure is 80 square units.
Use the image to answer the question.
An illustration shows a polygon where the top, right, and bottom sides are perpendicular to each other. A smaller rectangular piece is missing from the center of the left side of the polygon inward. The dimensions are as follows: the top side is 6, the right side is 8, and the bottom side is 6. The left side is divided into three parts. It shows a vertical width of 2 from the top
Solve the following problem using what you know about composite figures. What is the area of the figure?
(1 point)
Responses
36 square units
36 square units
30 square units
30 square units
24 square units
24 square units
48 square units
11 answers
Use the image to answer the question.
A composite figure is comprised of a rectangle and two congruent right triangle on either side. The triangle have a height of 4 inches and a width of 3 inches.
The composite shape in the image has an area of 40 square inches. What is the area of the rectangle within the composite shape?
(1 point)
Responses
28 square inches
28 square inches
7 square inches
7 square inches
34 square inches
34 square inches
16 square inches
A composite figure is comprised of a rectangle and two congruent right triangle on either side. The triangle have a height of 4 inches and a width of 3 inches.
The composite shape in the image has an area of 40 square inches. What is the area of the rectangle within the composite shape?
(1 point)
Responses
28 square inches
28 square inches
7 square inches
7 square inches
34 square inches
34 square inches
16 square inches
To find the area of the rectangle within the composite shape, we can subtract the area of the two triangles from the total area of the composite figure.
Total area of the composite figure:
Area of triangles: 2 * (1/2 * base * height) = 2 * (1/2 * 3 * 4) = 2 * 6 = 12 square inches
Given total area is 40 square inches
Area of rectangle within the composite shape:
40 - 12 = 28 square inches
The area of the rectangle within the composite shape is 28 square inches. The correct response is "28 square inches".
Total area of the composite figure:
Area of triangles: 2 * (1/2 * base * height) = 2 * (1/2 * 3 * 4) = 2 * 6 = 12 square inches
Given total area is 40 square inches
Area of rectangle within the composite shape:
40 - 12 = 28 square inches
The area of the rectangle within the composite shape is 28 square inches. The correct response is "28 square inches".
Use the image to answer the question.
A composite shape is drawn with a rectangle and a square. All lines are straight and all corners are marked as right angles. The shape is made with a vertically aligned rectangle 8 yards in length and 7 yards in width. A horizontally aligned rectangle 3 yards wide and of unknown length is removed from the bottom left corner of the original rectangle. The remaining width along the bottom right is 3 yards.
Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?
(1 point)
Responses
56 square yards
56 square yards
65 square yards
65 square yards
44 square yards
44 square yards
30 square yards
A composite shape is drawn with a rectangle and a square. All lines are straight and all corners are marked as right angles. The shape is made with a vertically aligned rectangle 8 yards in length and 7 yards in width. A horizontally aligned rectangle 3 yards wide and of unknown length is removed from the bottom left corner of the original rectangle. The remaining width along the bottom right is 3 yards.
Solve the following problem: A town has a swimming pool shaped as in the diagram.
What is the area of the swimming pool in square yards?
(1 point)
Responses
56 square yards
56 square yards
65 square yards
65 square yards
44 square yards
44 square yards
30 square yards
To find the area of the swimming pool, we need to calculate the total area of the original rectangle and then subtract the area of the rectangle that was removed from the bottom left corner.
Area of the original rectangle:
Length * Width = 8 * 7 = 56 square yards
Area of the removed rectangle:
Length * Width = 3 * 3 = 9 square yards
Area of the swimming pool:
56 - 9 = 47 square yards
The area of the swimming pool is 47 square yards. However, this is not provided in the options. The closest option is 44 square yards.
Area of the original rectangle:
Length * Width = 8 * 7 = 56 square yards
Area of the removed rectangle:
Length * Width = 3 * 3 = 9 square yards
Area of the swimming pool:
56 - 9 = 47 square yards
The area of the swimming pool is 47 square yards. However, this is not provided in the options. The closest option is 44 square yards.
Use the image to answer the question.
A composite shape is drawn using a rectangle and a triangle. The rectangle has a base labeled as 6 centimeters. A triangle showing a perpendicular height of 6 centimeters is stacked on the top side of the rectangle. The base of the triangle and the top of the rectangle have a common side. Right angle symbols are shown on all four corners of the rectangle.
John Roy creates this drawing of a composite shape for an art contest. The area of the drawing is 78 square centimeters. What is the height of the rectangle?
(1 point)
Responses
13 centimeters
13 centimeters
10 centimeters
10 centimeters
8 centimeters
8 centimeters
12 centimeters
A composite shape is drawn using a rectangle and a triangle. The rectangle has a base labeled as 6 centimeters. A triangle showing a perpendicular height of 6 centimeters is stacked on the top side of the rectangle. The base of the triangle and the top of the rectangle have a common side. Right angle symbols are shown on all four corners of the rectangle.
John Roy creates this drawing of a composite shape for an art contest. The area of the drawing is 78 square centimeters. What is the height of the rectangle?
(1 point)
Responses
13 centimeters
13 centimeters
10 centimeters
10 centimeters
8 centimeters
8 centimeters
12 centimeters
To find the height of the rectangle, we need to first calculate the area of the composite shape. The composite shape consists of a rectangle and a triangle.
Area of the rectangle: Base * Height = 6 cm * Height = 6H square cm
Area of the triangle: (1/2) * Base * Height = (1/2) * 6 cm * 6 cm = 18 square cm
Total area of the composite shape:
Area of rectangle + Area of triangle = 6H + 18
Given that the total area is 78 square centimeters:
6H + 18 = 78
6H = 60
H = 10 cm
Therefore, the height of the rectangle is 10 centimeters, which is one of the provided options.
Area of the rectangle: Base * Height = 6 cm * Height = 6H square cm
Area of the triangle: (1/2) * Base * Height = (1/2) * 6 cm * 6 cm = 18 square cm
Total area of the composite shape:
Area of rectangle + Area of triangle = 6H + 18
Given that the total area is 78 square centimeters:
6H + 18 = 78
6H = 60
H = 10 cm
Therefore, the height of the rectangle is 10 centimeters, which is one of the provided options.
Use the image to answer the question.
A horizontally aligned rectangle is shown as 10 meters long and 6 meters wide. A rectangular area is removed from the bottom right corner, with the remaining length as 8 meters and remaining width as 4 meters. Right angle marks are shown in the five corners of the composite shape.
Rebekah designs a playing field for a new sport. The playing field is pictured. What is the area of the playing field?
(1 point)
Responses
58 square meters
58 square meters
56 square meters
56 square meters
60 square meters
60 square meters
32 square meters
A horizontally aligned rectangle is shown as 10 meters long and 6 meters wide. A rectangular area is removed from the bottom right corner, with the remaining length as 8 meters and remaining width as 4 meters. Right angle marks are shown in the five corners of the composite shape.
Rebekah designs a playing field for a new sport. The playing field is pictured. What is the area of the playing field?
(1 point)
Responses
58 square meters
58 square meters
56 square meters
56 square meters
60 square meters
60 square meters
32 square meters
To find the area of the composite shape (playing field), we need to calculate the area of the original rectangle and then subtract the area of the rectangle that was removed.
Area of the original rectangle:
Length * Width = 10 * 6 = 60 square meters
Area of the removed rectangle:
Remaining Length * Remaining Width = 8 * 4 = 32 square meters
Area of the playing field:
60 - 32 = 28 square meters
The area of the playing field is 28 square meters. Since this option is not provided, the closest option is 32 square meters.
Area of the original rectangle:
Length * Width = 10 * 6 = 60 square meters
Area of the removed rectangle:
Remaining Length * Remaining Width = 8 * 4 = 32 square meters
Area of the playing field:
60 - 32 = 28 square meters
The area of the playing field is 28 square meters. Since this option is not provided, the closest option is 32 square meters.
Use the image to answer the question.
An illustration shows a polygon where the top, right, and bottom sides are perpendicular to each other. A smaller rectangular piece is missing from the center of the left side of the polygon inward. The dimensions are as follows: the top side is 6, the right side is 8, and the bottom side is 6. The left side is divided into three parts. It shows a vertical width of 2 from the top
Solve the following problem using what you know about composite figures. What is the area of the figure?
(1 point)
Responses
36 square units
36 square units
30 square units
30 square units
24 square units
24 square units
48 square units
An illustration shows a polygon where the top, right, and bottom sides are perpendicular to each other. A smaller rectangular piece is missing from the center of the left side of the polygon inward. The dimensions are as follows: the top side is 6, the right side is 8, and the bottom side is 6. The left side is divided into three parts. It shows a vertical width of 2 from the top
Solve the following problem using what you know about composite figures. What is the area of the figure?
(1 point)
Responses
36 square units
36 square units
30 square units
30 square units
24 square units
24 square units
48 square units
To find the area of the composite figure, we need to calculate the total area of the original polygon and then subtract the area of the missing rectangle.
Total area of the original polygon:
Top * Right = 6 * 8 = 48 square units
Area of the missing rectangle:
2 * 8 = 16 square units
Area of the figure:
48 - 16 = 32 square units
The correct option among the provided choices is the closest one - 30 square units. However, the correct area of the figure is 32 square units.
Total area of the original polygon:
Top * Right = 6 * 8 = 48 square units
Area of the missing rectangle:
2 * 8 = 16 square units
Area of the figure:
48 - 16 = 32 square units
The correct option among the provided choices is the closest one - 30 square units. However, the correct area of the figure is 32 square units.
3 answers