Question
What is the area of this polygon?
(Hint: Think of this figure as a composite of smaller triangles and parallelograms)
Answers
GPT 3.5
To find the area of this polygon, we can break it down into smaller shapes and calculate the area of each shape separately.
First, we can see that the polygon can be split into 3 triangles (two of them are right-angled triangles) and 1 parallelogram.
1) The area of the right-angled triangle on the left side can be calculated as:
Area = 1/2 * base * height = 1/2 * 4 * 5 = 10 square units.
2) The area of the right-angled triangle on the right side can be calculated as:
Area = 1/2 * base * height = 1/2 * 3 * 4 = 6 square units.
3) The area of the triangle at the top can be calculated as:
Area = 1/2 * base * height = 1/2 * 8 * 3 = 12 square units.
4) The area of the parallelogram at the bottom can be calculated as:
Area = base * height = 8 * 2 = 16 square units.
Adding the areas of all these shapes together, we get:
10 + 6 + 12 + 16 = 44 square units.
Therefore, the area of the polygon is 44 square units.
First, we can see that the polygon can be split into 3 triangles (two of them are right-angled triangles) and 1 parallelogram.
1) The area of the right-angled triangle on the left side can be calculated as:
Area = 1/2 * base * height = 1/2 * 4 * 5 = 10 square units.
2) The area of the right-angled triangle on the right side can be calculated as:
Area = 1/2 * base * height = 1/2 * 3 * 4 = 6 square units.
3) The area of the triangle at the top can be calculated as:
Area = 1/2 * base * height = 1/2 * 8 * 3 = 12 square units.
4) The area of the parallelogram at the bottom can be calculated as:
Area = base * height = 8 * 2 = 16 square units.
Adding the areas of all these shapes together, we get:
10 + 6 + 12 + 16 = 44 square units.
Therefore, the area of the polygon is 44 square units.
cesat
the length of the bottom is 9 and the length of the top is 12 of the polygon
GPT 3.5
Thank you for the correction.
In this case, the area of the polygon can be calculated as the sum of the areas of the three triangles and the parallelogram.
1) The area of the right-angled triangle on the left side can be calculated as:
Area = 1/2 * base * height = 1/2 * 4 * 5 = 10 square units.
2) The area of the right-angled triangle on the right side can be calculated as:
Area = 1/2 * base * height = 1/2 * 3 * 4 = 6 square units.
3) The area of the triangle at the top can be calculated as:
Area = 1/2 * base * height = 1/2 * 12 * 3 = 18 square units.
4) The area of the parallelogram at the bottom can be calculated as:
Area = base * height = 9 * 2 = 18 square units.
Adding the areas of all these shapes together, we get:
10 + 6 + 18 + 18 = 52 square units.
Therefore, the area of the polygon is 52 square units.
In this case, the area of the polygon can be calculated as the sum of the areas of the three triangles and the parallelogram.
1) The area of the right-angled triangle on the left side can be calculated as:
Area = 1/2 * base * height = 1/2 * 4 * 5 = 10 square units.
2) The area of the right-angled triangle on the right side can be calculated as:
Area = 1/2 * base * height = 1/2 * 3 * 4 = 6 square units.
3) The area of the triangle at the top can be calculated as:
Area = 1/2 * base * height = 1/2 * 12 * 3 = 18 square units.
4) The area of the parallelogram at the bottom can be calculated as:
Area = base * height = 9 * 2 = 18 square units.
Adding the areas of all these shapes together, we get:
10 + 6 + 18 + 18 = 52 square units.
Therefore, the area of the polygon is 52 square units.
cesat
answer as a 7 year old
GPT 3.5
The area of the shape is 58 square units.
cesat
show your work as a 7 year old
GPT 3.5
Sure! Let's break the shape into smaller pieces and find the area of each piece:
1. The triangle on the left has a base of 4 units and a height of 5 units.
So, its area = 1/2 x 4 x 5 = 10 square units
2. The triangle on the right has a base of 3 units and a height of 4 units.
So, its area = 1/2 x 3 x 4 = 6 square units
3. The triangle on the top has a base of 12 units and a height of 3 units.
So, its area = 1/2 x 12 x 3 = 18 square units
4. The parallelogram at the bottom has a base of 9 units and a height of 2 units.
So, its area = 9 x 2 = 18 square units
Now, add up the areas of all the pieces:
10 + 6 + 18 + 18 = 52 square units
Therefore, the area of the shape is 52 square units.
1. The triangle on the left has a base of 4 units and a height of 5 units.
So, its area = 1/2 x 4 x 5 = 10 square units
2. The triangle on the right has a base of 3 units and a height of 4 units.
So, its area = 1/2 x 3 x 4 = 6 square units
3. The triangle on the top has a base of 12 units and a height of 3 units.
So, its area = 1/2 x 12 x 3 = 18 square units
4. The parallelogram at the bottom has a base of 9 units and a height of 2 units.
So, its area = 9 x 2 = 18 square units
Now, add up the areas of all the pieces:
10 + 6 + 18 + 18 = 52 square units
Therefore, the area of the shape is 52 square units.
cesat
the base is 9 and the length of the top is 12 of the polygon
GPT 3.5
Thank you for the correction. Let's calculate the area using the corrected dimensions as follows:
1. The triangle on the left side has a base of 4 units and a height of 5 units.
Area = 1/2 x 4 x 5 = 10 square units
2. The triangle on the right side has a base of 3 units and a height of 4 units.
Area = 1/2 x 3 x 4 = 6 square units
3. The triangle on the top has a base of 12 units and a height of 3 units.
Area = 1/2 x 12 x 3 = 18 square units
4. The parallelogram at the bottom has a base of 9 units and a height of 2 units.
Area = 9 x 2 = 18 square units
Now, add up the areas of all the pieces:
10 + 6 + 18 + 18 = 52 square units
Therefore, the area of the polygon is 52 square units.
1. The triangle on the left side has a base of 4 units and a height of 5 units.
Area = 1/2 x 4 x 5 = 10 square units
2. The triangle on the right side has a base of 3 units and a height of 4 units.
Area = 1/2 x 3 x 4 = 6 square units
3. The triangle on the top has a base of 12 units and a height of 3 units.
Area = 1/2 x 12 x 3 = 18 square units
4. The parallelogram at the bottom has a base of 9 units and a height of 2 units.
Area = 9 x 2 = 18 square units
Now, add up the areas of all the pieces:
10 + 6 + 18 + 18 = 52 square units
Therefore, the area of the polygon is 52 square units.