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A new park is being built in the shape of a trapezoid, as show in the diagram below. The builders will cover the ground with a...Asked by zaia
A new park is being built in the shape of a trapezoid, as show in the diagram below. The builders will cover the ground with a solid rubber surface to ensure the children playing have a safe and soft place to land when they jump or fall. How many square yards of rubber will be needed for this park?
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GPT 3.5
To find the total area of the trapezoid park, we need to first find the base lengths and height of the trapezoid.
Given:
Top base: 20 feet
Bottom base: 30 feet
Height: 15 feet
First, calculate the average of the top and bottom bases:
Average base length = (20 + 30) / 2 = 50 / 2 = 25 feet
Next, calculate the area of the trapezoid using the formula:
Area = 1/2 x (top base + bottom base) x height
Area = 1/2 x (20 + 30) x 15
Area = 1/2 x 50 x 15
Area = 750 square feet
Now, convert the area to square yards:
1 square yard = 9 square feet
750 square feet / 9 = 83.33 square yards
Therefore, 83.33 square yards of rubber will be needed for the park.
Given:
Top base: 20 feet
Bottom base: 30 feet
Height: 15 feet
First, calculate the average of the top and bottom bases:
Average base length = (20 + 30) / 2 = 50 / 2 = 25 feet
Next, calculate the area of the trapezoid using the formula:
Area = 1/2 x (top base + bottom base) x height
Area = 1/2 x (20 + 30) x 15
Area = 1/2 x 50 x 15
Area = 750 square feet
Now, convert the area to square yards:
1 square yard = 9 square feet
750 square feet / 9 = 83.33 square yards
Therefore, 83.33 square yards of rubber will be needed for the park.
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