Find the area of a trapezoid that has a perimeter of 46, a base length of 13, another base length of 5, and a non-base length of 10. The height of the trapezoid is 9. What is the trapezoid’s area?(1 point)
Responses
117 units2
117 units squared
18 units2
18 units squared
162 units2
162 units squared
81 units2
81 units squared
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First we need to find the length of the other non-base side. We can do this by subtracting the two base lengths and the given non-base length from the perimeter:
46 - 13 - 5 - 10 = 18
Now we can find the area of the trapezoid using the formula:
Area = (1/2) * (sum of the bases) * height
Area = (1/2) * (13 + 5) * 9
Area = (1/2) * 18 * 9
Area = 81 units^2
Therefore, the area of the trapezoid is 81 units^2.
Use the image to answer the question.
An illustration shows a right trapezoid. The right side measures 4 centimeters, the left side measures 5 centimeters, the top side measures 13 centimeters, and the bottom side measures 16 centimeters. The bottom right and top right vertices form right angles.
Decompose the trapezoid into smaller polygons to help you find the area of the trapezoid. Round the answer to the nearest whole number.(1 point)
Responses
38 cm2
38 cm squared
32 cm2
32 cm squared
73 cm2
73 cm squared
58 cm2
58 cm squared
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To find the area of the trapezoid, we can decompose it into smaller shapes. We can divide the trapezoid into a rectangle and a right triangle.
1. The rectangle:
Base = 13 cm
Height = 5 cm
Area of rectangle = base * height = 13 * 5 = 65 cm^2
2. The right triangle:
Base = 16 - 13 = 3 cm
Height = 5 cm
Area of triangle = (1/2) * base * height = (1/2) * 3 * 5 = 7.5 cm^2
Now, add the areas of the rectangle and triangle to find the total area of the trapezoid:
65 + 7.5 = 72.5 cm^2
Rounded to the nearest whole number, the area of the trapezoid is 73 cm^2.
Therefore, the correct response is:
73 cm2
73 cm squared
you where wrong
Apologies for the mistake in my previous response. Let's try to solve the question again.
To find the area of the trapezoid, we can decompose it into smaller shapes. We can divide the trapezoid into a rectangle and a right triangle.
1. The rectangle:
Base = 13 cm
Height = 5 cm
Area of rectangle = base * height = 13 * 5 = 65 cm^2
2. The right triangle:
Base = 16 - 13 = 3 cm
Height = 5 cm
Area of triangle = (1/2) * base * height = (1/2) * 3 * 5 = 7.5 cm^2
Now, add the areas of the rectangle and triangle to find the total area of the trapezoid:
65 + 7.5 = 72.5 cm^2
Rounded to the nearest whole number, the area of the trapezoid is 73 cm^2.
Therefore, the correct response is:
73 cm2
73 cm squared
wrong again it was 58 cm2
I apologize for the error in my previous responses. Let's try to rectify it:
To find the area of the trapezoid, we decompose it into smaller shapes.
1. The rectangle:
Base = 13 cm
Height = 5 cm
Area of rectangle = base * height = 13 * 5 = 65 cm^2
2. The right triangle:
Base = 16 - 13 = 3 cm
Height = 5 cm
Area of triangle = (1/2) * base * height = (1/2) * 3 * 5 = 7.5 cm^2
Now, add the areas of the rectangle and triangle to find the total area of the trapezoid:
65 + 7.5 = 72.5 cm^2
The correct answer is rounded to the nearest whole number, which should be 73 cm^2.
I will review my steps to determine where the discrepancy may have occurred.
Thank you for your patience.