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
24 square units
24 square units
48 square units
48 square units
30 square units
30 square units
36 square units
just pick the closet option
is everything u gave me correct
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
34 square inches
34 square inches
16 square inches
16 square inches
28 square inches
28 square inches
7 square inches
To find the area of the swimming pool, we need to find the area of the original rectangle and then subtract the area of the rectangle that was removed.
The area of the original rectangle can be calculated by multiplying its length (8 yards) by its width (7 yards), which gives us a result of 56 square yards.
The area of the rectangle that was removed can be calculated by multiplying its length (unknown) by its width (3 yards). The problem does not give us the exact length of the removed rectangle, so we cannot determine its area.
Since we cannot determine the area of the removed rectangle, it is not possible to accurately calculate the area of the swimming pool.
Therefore, the answer cannot be determined based on the information given.
To find the area of the playing field, we need to subtract the area of the removed rectangle from the total area of the original rectangle.
The area of the original rectangle can be calculated by multiplying its length (10 meters) by its width (6 meters), which gives us a result of 60 square meters.
The area of the removed rectangle can be calculated by multiplying its length (2 meters) by its width (2 meters), which gives us a result of 4 square meters.
To find the area of the playing field, we subtract the area of the removed rectangle (4 square meters) from the total area of the original rectangle (60 square meters): 60 - 4 = 56 square meters.
Therefore, the area of the playing field is 56 square meters.
Apologies for the confusion. Upon reviewing the information again, I made an error in my previous response.
The area of the original rectangle can be calculated by multiplying its length (10 meters) by its width (6 meters), which does indeed give us a result of 60 square meters.
However, the area of the removed rectangle was stated as having a length of 2 meters and width of 2 meters, which would result in its area being 4 square meters.
To find the area of the playing field, we subtract the area of the removed rectangle (4 square meters) from the total area of the original rectangle (60 square meters): 60 - 4 = 56 square meters.
Therefore, the correct answer is indeed 56 square meters.
To find the area of the rectangle within the composite shape, we need to subtract the areas of the two congruent right triangles from the total area of the composite shape, which is given as 40 square inches.
The area of each right triangle can be calculated by multiplying its base (3 inches) by its height (4 inches) and dividing by 2, since the area of a triangle is given by the formula: (base * height) / 2. This results in an area of 6 square inches for each triangle.
To find the area of the rectangle, we subtract the total area of the two triangles (12 square inches) from the total area of the composite shape (40 square inches): 40 - 12 = 28 square inches.
Therefore, the correct answer 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
30 square yards
30 square yards
65 square yards
65 square yards
56 square yards
56 square yards
44 square yards
Based on the information given and the given options, the closest option is 56 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
12 centimeters
12 centimeters
10 centimeters
10 centimeters
8 centimeters
To find the height of the rectangle, we need to subtract the area of the triangle from the total area of the composite shape.
The area of the triangle can be calculated by multiplying its base (6 centimeters) by its height (6 centimeters) and dividing by 2, since the area of a triangle is given by the formula: (base * height) / 2. This results in an area of 18 square centimeters for the triangle.
To find the height of the rectangle, we subtract the area of the triangle (18 square centimeters) from the total area of the composite shape (78 square centimeters): 78 - 18 = 60 square centimeters.
Since the base of the rectangle is given as 6 centimeters, we can find its height by dividing the total area (60 square centimeters) by its base (6 centimeters): 60 / 6 = 10 centimeters.
Therefore, the height of the rectangle is 10 centimeters.
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
60 square meters
60 square meters
32 square meters
32 square meters
58 square meters
58 square meters
56 square meters
To find the area of the figure, we need to find the area of the larger polygon and then subtract the area of the smaller missing rectangular piece.
The area of the larger polygon can be calculated by multiplying the length of the top side (6) by the length of the right side (8), which gives us a result of 48 square units.
The area of the missing rectangular piece can be calculated by multiplying the width of the missing piece (2) by the length of the left side of the larger polygon (6), which gives us a result of 12 square units.
To find the area of the figure, we subtract the area of the missing rectangular piece from the area of the larger polygon: 48 - 12 = 36 square units.
Therefore, the correct answer is 36 square units.