To find the area of the swimming pool, first calculate the area of the original rectangle. The area of a rectangle is found by multiplying the length by the width. The original rectangle has a length of 8 yards and a width of 7 yards, so the area is 8 yards * 7 yards = 56 square yards.
Next, calculate the area of the rectangle that was removed from the bottom left corner. This rectangle has a width of 3 yards and an unknown length. The remaining width along the bottom right is 3 yards, so the length of the rectangle that was removed is 7 yards - 3 yards = 4 yards. The area of this rectangle is 3 yards * 4 yards = 12 square yards.
Finally, subtract the area of the removed rectangle from the area of the original rectangle to find the area of the swimming pool:
56 square yards - 12 square yards = 44 square yards
Therefore, the area of the swimming pool is 44 square yards.
The correct answer is: 44 square yards
Question
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
44 square yards
44 square yards
65 square yards
65 square yards
30 square yards
30 square yards
56 square yards
56 square yards
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11 answers
are you sure bro
I apologize for the incorrect response. Let's reevaluate the problem.
The original rectangle has an area of 8 yards * 7 yards = 56 square yards.
The area of the rectangle that was removed from the bottom left corner is 3 yards * 4 yards = 12 square yards.
Subtracting the area of the removed rectangle from the area of the original rectangle, we get:
56 square yards - 12 square yards = 44 square yards.
Therefore, the correct answer is indeed 44 square yards.
I appreciate your attention to detail. Thank you for pointing it out.
The original rectangle has an area of 8 yards * 7 yards = 56 square yards.
The area of the rectangle that was removed from the bottom left corner is 3 yards * 4 yards = 12 square yards.
Subtracting the area of the removed rectangle from the area of the original rectangle, we get:
56 square yards - 12 square yards = 44 square yards.
Therefore, the correct answer is indeed 44 square yards.
I appreciate your attention to detail. Thank you for pointing it out.
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
10 centimeters
10 centimeters
8 centimeters
8 centimeters
13 centimeters
13 centimeters
12 centimeters
12 centimeters
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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
10 centimeters
10 centimeters
8 centimeters
8 centimeters
13 centimeters
13 centimeters
12 centimeters
12 centimeters
Skip to navigation
To find the height of the rectangle in this composite shape, we first need to determine the area of the rectangle and the area of the triangle separately.
The area of the rectangle is calculated by multiplying the base (6 centimeters) by the height of the rectangle. Let's denote the height of the rectangle as h. Therefore, the area of the rectangle is 6 * h = 6h square centimeters.
The area of the triangle can be calculated using the formula for the area of a triangle: 0.5 * base * height. In this case, the base of the triangle is also 6 centimeters and the height of the triangle is 6 centimeters. Therefore, the area of the triangle is 0.5 * 6 * 6 = 18 square centimeters.
Given that the total area of the composite shape is 78 square centimeters, we can set up an equation:
6h (area of the rectangle) + 18 (area of the triangle) = 78
Solving for h:
6h + 18 = 78
6h = 60
h = 60 / 6
h = 10 centimeters
Therefore, the height of the rectangle in the composite shape is 10 centimeters.
The correct answer is: 10 centimeters.
The area of the rectangle is calculated by multiplying the base (6 centimeters) by the height of the rectangle. Let's denote the height of the rectangle as h. Therefore, the area of the rectangle is 6 * h = 6h square centimeters.
The area of the triangle can be calculated using the formula for the area of a triangle: 0.5 * base * height. In this case, the base of the triangle is also 6 centimeters and the height of the triangle is 6 centimeters. Therefore, the area of the triangle is 0.5 * 6 * 6 = 18 square centimeters.
Given that the total area of the composite shape is 78 square centimeters, we can set up an equation:
6h (area of the rectangle) + 18 (area of the triangle) = 78
Solving for h:
6h + 18 = 78
6h = 60
h = 60 / 6
h = 10 centimeters
Therefore, the height of the rectangle in the composite shape is 10 centimeters.
The correct answer is: 10 centimeters.
are you sure ?
Let's reevaluate the problem to ensure the accuracy of the solution.
The area of the composite shape consists of the area of the rectangle and the area of the triangle. The area of the rectangle is base * height, which in this case is 6 cm * h (where h is the height of the rectangle). The area of the triangle is 0.5 * base * height, which is 0.5 * 6 cm * 6 cm = 18 square cm.
Given that the total area of the composite shape is 78 square cm, we can set up the equation:
6h (area of rectangle) + 18 (area of triangle) = 78
Solving for h:
6h + 18 = 78
6h = 60
h = 60 / 6
h = 10 cm
Therefore, the height of the rectangle in the composite shape is indeed 10 centimeters.
The correct answer is: 10 centimeters.
The area of the composite shape consists of the area of the rectangle and the area of the triangle. The area of the rectangle is base * height, which in this case is 6 cm * h (where h is the height of the rectangle). The area of the triangle is 0.5 * base * height, which is 0.5 * 6 cm * 6 cm = 18 square cm.
Given that the total area of the composite shape is 78 square cm, we can set up the equation:
6h (area of rectangle) + 18 (area of triangle) = 78
Solving for h:
6h + 18 = 78
6h = 60
h = 60 / 6
h = 10 cm
Therefore, the height of the rectangle in the composite shape is indeed 10 centimeters.
The correct answer 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
58 square meters
58 square meters
60 square meters
60 square meters
56 square meters
56 square meters
32 square meters
32 square meters
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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
60 square meters
60 square meters
56 square meters
56 square meters
32 square meters
32 square meters
Skip to navigation
To find the area of the playing field created by the composite shape, we first calculate the area of the original rectangle and then subtract the area of the smaller rectangle that was removed.
The original rectangle has a length of 10 meters and a width of 6 meters, so its area is 10 meters * 6 meters = 60 square meters.
The smaller rectangle removed from the bottom right corner has a length of 2 meters (10 meters - 8 meters) and a width of 2 meters (6 meters - 4 meters), so its area is 2 meters * 2 meters = 4 square meters.
Subtracting the area of the smaller rectangle from the area of the original rectangle gives us the area of the playing field:
60 square meters - 4 square meters = 56 square meters
Therefore, the correct answer is 56 square meters.
The area of the playing field is 56 square meters.
The original rectangle has a length of 10 meters and a width of 6 meters, so its area is 10 meters * 6 meters = 60 square meters.
The smaller rectangle removed from the bottom right corner has a length of 2 meters (10 meters - 8 meters) and a width of 2 meters (6 meters - 4 meters), so its area is 2 meters * 2 meters = 4 square meters.
Subtracting the area of the smaller rectangle from the area of the original rectangle gives us the area of the playing field:
60 square meters - 4 square meters = 56 square meters
Therefore, the correct answer is 56 square meters.
The area of the playing field is 56 square meters.
are u sure
Let's reevaluate the problem to ensure the accuracy of the solution.
Given:
- Original rectangle: Length = 10 meters, Width = 6 meters
- Rectangle removed: Length = 2 meters, Width = 2 meters
The area of the original rectangle is 10 meters * 6 meters = 60 square meters.
The area of the rectangle removed from the bottom right corner is 2 meters * 2 meters = 4 square meters.
To find the area of the playing field, we need to subtract the area of the removed rectangle from the area of the original rectangle:
60 square meters - 4 square meters = 56 square meters
Therefore, the area of the playing field is indeed 56 square meters.
The correct answer is: 56 square meters.
Given:
- Original rectangle: Length = 10 meters, Width = 6 meters
- Rectangle removed: Length = 2 meters, Width = 2 meters
The area of the original rectangle is 10 meters * 6 meters = 60 square meters.
The area of the rectangle removed from the bottom right corner is 2 meters * 2 meters = 4 square meters.
To find the area of the playing field, we need to subtract the area of the removed rectangle from the area of the original rectangle:
60 square meters - 4 square meters = 56 square meters
Therefore, the area of the playing field is indeed 56 square meters.
The correct answer is: 56 square meters.