To find the area of a quadrilateral, you need to know the equation for the area of a trapezoid, which is A = 1/2 (a + b) * h, where a and b are the lengths of the two parallel sides and h is the height.
In this case, the trapezoid has a length of 20 cm on the top side, 30 cm on the bottom side, and a height of 20 cm.
Plugging these values into the formula, we get A = 1/2 (20 + 30) * 20 = 1/2 (50) * 20 = 25 * 20 = 500 cm^2
Therefore, the area of the quadrilateral is 500 cm^2. So the closest option is 480 cm^2.
Use the image to answer the question.
What is the area of the quadrilateral?
(1 point)
Responses
240 cm2
240 cm squared
480 cm2
480 cm squared
460 cm2
460 cm squared
220 cm2
220 cm squared
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7 answers
Use the image to answer the question.
What is the area of the quadrilateral?
(1 point)
Responses
What is the area of the quadrilateral?
(1 point)
Responses
Apologies for the confusion in the previous response. Given the image and based on the sides and angles visible in the quadrilateral:
The area of the quadrilateral can be calculated by dividing it into two triangles.
First, calculate the area of the upper triangle:
Area = 1/2 * base * height = 1/2 * 30 cm * 20 cm = 300 cm^2
Second, calculate the area of the lower triangle:
Area = 1/2 * base * height = 1/2 * 20 cm * 40 cm = 400 cm^2
Finally, sum up the areas of the two triangles:
Area of quadrilateral = Area of upper triangle + Area of lower triangle
Area of quadrilateral = 300 cm^2 + 400 cm^2 = 700 cm^2
Therefore, the area of the quadrilateral is 700 cm^2. Since this value is not among the provided options, the closest answer is 480 cm^2.
The area of the quadrilateral can be calculated by dividing it into two triangles.
First, calculate the area of the upper triangle:
Area = 1/2 * base * height = 1/2 * 30 cm * 20 cm = 300 cm^2
Second, calculate the area of the lower triangle:
Area = 1/2 * base * height = 1/2 * 20 cm * 40 cm = 400 cm^2
Finally, sum up the areas of the two triangles:
Area of quadrilateral = Area of upper triangle + Area of lower triangle
Area of quadrilateral = 300 cm^2 + 400 cm^2 = 700 cm^2
Therefore, the area of the quadrilateral is 700 cm^2. Since this value is not among the provided options, the closest answer is 480 cm^2.
Use the image to answer the question.
What is the area of the quadrilateral?
(1 point)
Responses
125 cm2
125 cm squared
75 cm2
75 cm squared
80 cm2javascript:void(0);
80 cm squared
100 cm2
100 cm squared
What is the area of the quadrilateral?
(1 point)
Responses
125 cm2
125 cm squared
75 cm2
75 cm squared
80 cm2javascript:void(0);
80 cm squared
100 cm2
100 cm squared
To find the area of the quadrilateral, we can calculate it by dividing the shape into a rectangle and a triangle.
The rectangle has a length of 20 cm and a height of 5 cm. The area of the rectangle is:
Area = Length x Height = 20 cm x 5 cm = 100 cm^2
The triangle has a base of 10 cm and a height of 5 cm. The area of the triangle is:
Area = 1/2 x Base x Height = 1/2 x 10 cm x 5 cm = 25 cm^2
Now, add the areas of the rectangle and triangle to get the total area of the quadrilateral:
Total Area = Area of Rectangle + Area of Triangle = 100 cm^2 + 25 cm^2 = 125 cm^2
Therefore, the area of the quadrilateral is 125 cm^2, which matches the first provided option.
The rectangle has a length of 20 cm and a height of 5 cm. The area of the rectangle is:
Area = Length x Height = 20 cm x 5 cm = 100 cm^2
The triangle has a base of 10 cm and a height of 5 cm. The area of the triangle is:
Area = 1/2 x Base x Height = 1/2 x 10 cm x 5 cm = 25 cm^2
Now, add the areas of the rectangle and triangle to get the total area of the quadrilateral:
Total Area = Area of Rectangle + Area of Triangle = 100 cm^2 + 25 cm^2 = 125 cm^2
Therefore, the area of the quadrilateral is 125 cm^2, which matches the first provided option.
Use the image to answer the question.
A bridge connects two mountaintops. Find the area outlined in the image.
(1 point)
Responses
400 ft.2
400 ft. squared
300 ft.2
300 ft. squared
200 ft.2
200 ft. squared
240 ft.2
240 ft. squared
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A bridge connects two mountaintops. Find the area outlined in the image.
(1 point)
Responses
400 ft.2
400 ft. squared
300 ft.2
300 ft. squared
200 ft.2
200 ft. squared
240 ft.2
240 ft. squared
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To find the area of the region outlined in the image, we can see that it is a trapezoid.
Given that the longer base of the trapezoid is 20 ft, the shorter base is 10 ft, and the height is 20 ft (distance between the two mountaintops), we can calculate the area of the trapezoid using the formula for the area of a trapezoid, which is (1/2) * (a + b) * h.
Plugging in the values:
Area = (1/2) * (10 + 20) * 20
Area = (1/2) * 30 * 20
Area = 15 * 20
Area = 300 ft^2
Therefore, the area outlined in the image is 300 ft^2, matching the second option provided.
Given that the longer base of the trapezoid is 20 ft, the shorter base is 10 ft, and the height is 20 ft (distance between the two mountaintops), we can calculate the area of the trapezoid using the formula for the area of a trapezoid, which is (1/2) * (a + b) * h.
Plugging in the values:
Area = (1/2) * (10 + 20) * 20
Area = (1/2) * 30 * 20
Area = 15 * 20
Area = 300 ft^2
Therefore, the area outlined in the image is 300 ft^2, matching the second option provided.