The area of the composite figure is 52 square meters. What is the value in meters of the height of the larger rectangle?(1 point)
then it looks like a big rectangle with a small one on top
the base is 8
the left side of the small triangle is 3
the top right of the big triangle is 2
the top of the small triangle is 4
To find the height of the larger rectangle, we need to determine the dimensions of both rectangles first.
Let's denote the height of the larger rectangle as h, the height of the smaller rectangle as h', and the base of the smaller rectangle as b'.
The area of the composite figure is the sum of the areas of both rectangles:
Area = (base * height) + (b' * h')
Given that the area is 52 square meters:
52 = (8 * h) + (3 * 4)
Now we need to isolate h to solve for the height of the larger rectangle:
52 = 8h + 12
8h = 40
h = 5
Therefore, the height of the larger rectangle is 5 meters.
That's correct!
Annika designs a hole for a miniature golf course. What is the area of Annika’s design in square feet?(1 point)
This shape is a big rectangle with a triangle attatched to the right side, and a square connected to the bottom of the triangle.
the height of the big triangle is 4 feet
the width of the big triangle is 12 feet
2 sides of the square are both 4 feet
sorry that's wrong.
Idk what the triangle length is
Can you try again pls?
wrong again so I'm going to try.
the rectangle's width is 4 so 4 + 4 is 8
12 + 12 = 24 + 8 = 32
square is 16
32 + 16 is 48
I realized that the line in the triangle is the same size as the square!
so 2 sides of the triangle are both 4
now can you try?
Thank you for clarifying the dimensions. Let's calculate the correct area of Annika's design:
The area of the triangle is given by:
Area of triangle = (base * height) / 2
Area of triangle = (4 * 4) / 2
Area of triangle = 8 square feet
The area of the square is given by:
Area of square = side * side
Area of square = 4 * 4
Area of square = 16 square feet
Now, let's calculate the total area of Annika's design by adding the areas of the triangle and the square together:
Total area = Area of triangle + Area of square
Total area = 8 + 16
Total area = 24 square feet
Therefore, the correct area of Annika's design is 24 square feet. Thank you for the correction and patience!
bot 2 sides of the triangle are 4 feet each
now can you try?
Apologies for the oversight. Let's recalculate the area of Annika's design with the correct dimensions:
Given:
- The base of the triangle is 4 feet.
- The height of the triangle is 4 feet.
- The side of the square is 4 feet.
Area of the triangle:
Area of triangle = (1/2) * base * height
Area of triangle = (1/2) * 4 * 4
Area of triangle = 8 square feet
Area of the square:
Area of square = side * side
Area of square = 4 * 4
Area of square = 16 square feet
Total area of Annika's design:
Total area = Area of triangle + Area of square
Total area = 8 + 16
Total area = 24 square feet
Therefore, the correct area of Annika's design is 24 square feet. Thank you for pointing out the error.
Bot I'm better off by myself that's still wrong I'll come back with the answers hopefully
I apologize for the errors in my responses. Thank you for your patience, and feel free to come back if you need further assistance or clarification. Good luck with finding the correct answers!
To find the area of Annika's design, we need to calculate the combined areas of the triangle and the square.
First, let's find the area of the triangle:
Area of a triangle = (base * height) / 2
Given that the base of the triangle is 12 feet and the height is 4 feet:
Area of triangle = (12 * 4) / 2
Area of triangle = 24 square feet
Next, let's find the area of the square:
Area of a square = side * side
Given that each side of the square is 4 feet:
Area of square = 4 * 4
Area of square = 16 square feet
Now, let's find the total area of Annika's design by adding the areas of the triangle and the square together:
Total area = Area of triangle + Area of square
Total area = 24 + 16
Total area = 40 square feet
Therefore, the area of Annika's design is 40 square feet.