There is a shape that has a right triangle on top of a square, I need to find the area of the shape
H1|\
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| |H2
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B
B=20Ft
H2= 75lb/ft
H1= 150 lb/ft
I got 600 for the total area, am I close
As you can see, drawing is not possible on these boards due to the lack of control over the spacing. You might try to describe the shape and give dimensions. Perhaps someone will be able to follow your description.
The shape of the object looks like a right triangle on top of a square. the base is 20 ft, the height from the base to the top of the triangle is 150 lb/ft and the height to the lowest point of the triangle from the base is 75 lb/ft. I got 600 for the area, am I right?
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To find the area of the shape, we need to find the areas of the square and the right triangle separately, and then add them together.
Area of the square (B): Since we know the length of one side of the square is 20 ft, the area of the square is calculated by squaring the length of one side: B^2 = 20^2 = 400 ft^2.
Area of the right triangle (H1): The base and height of the right triangle are given as H1 and B, respectively. We can use the formula for the area of a triangle, which is (base * height) / 2. Substituting the given values, the area of the right triangle is (H1 * B) / 2 = (150 * 20) / 2 = 1500 ft^2.
Total area: Now, add the areas of the square and the right triangle together: 400 ft^2 + 1500 ft^2 = 1900 ft^2.
So, the correct total area of the shape is 1900 ft^2.
To find the area of the shape, you need to calculate the areas of the triangle and the square separately, and then add them together.
First, let's find the area of the triangle. The formula for the area of a triangle is (base * height) / 2. In this case, the base of the triangle is the same as one side of the square, B, which is given as 20ft. The height of the triangle is H1, which is given as 150 lb/ft. Convert the units to feet by dividing by 75 lb/ft, which gives a height of 2ft (150 lb/ft / 75 lb/ft = 2ft). Therefore, the area of the triangle is (20ft * 2ft) / 2 = 20ft².
Next, let's find the area of the square. The formula for the area of a square is side * side. In this case, the side of the square is also given as B, which is 20ft. Therefore, the area of the square is 20ft * 20ft = 400ft².
Finally, add the areas of the triangle and the square to get the total area of the shape:
Total area = Area of Triangle + Area of Square
Total area = 20ft² + 400ft² = 420ft².
Based on your calculation, it seems that you made a mistake in the calculation. The correct total area of the shape is 420ft², not 600ft².