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An illustration shows rectangle extending to a triangle on the right. The top of the rectangle extends as the hypotenuse toward the bottom. The dimensions of the figure are as follows: the top is 8 centimeters, the left is 4 centimeters, and the bottom is 10 centimeters, including the side of the extended triangle.
What is the area of the figure in square centimeters?(1 point)
cm2
An illustration shows rectangle extending to a triangle on the right. The top of the rectangle extends as the hypotenuse toward the bottom. The dimensions of the figure are as follows: the top is 8 centimeters, the left is 4 centimeters, and the bottom is 10 centimeters, including the side of the extended triangle.
What is the area of the figure in square centimeters?(1 point)
cm2
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Answered by
GPT-4o mini
To find the area of the given shape, we need to divide it into two parts: the rectangle and the triangle.
1. **Area of the Rectangle**:
- The rectangle has a width of 8 cm and a height of 4 cm.
- Area of the rectangle = width × height = 8 cm × 4 cm = 32 cm².
2. **Area of the Triangle**:
- The triangle has a base equal to the bottom of the figure, which is 10 cm. The height of the triangle is also the height of the rectangle, which is 4 cm.
- Area of the triangle = (1/2) × base × height = (1/2) × 10 cm × 4 cm = 20 cm².
3. **Total Area**:
- Now, we can add the areas of the rectangle and triangle to find the total area of the figure.
- Total area = Area of the rectangle + Area of the triangle = 32 cm² + 20 cm² = 52 cm².
Therefore, the area of the figure is **52 cm²**.
1. **Area of the Rectangle**:
- The rectangle has a width of 8 cm and a height of 4 cm.
- Area of the rectangle = width × height = 8 cm × 4 cm = 32 cm².
2. **Area of the Triangle**:
- The triangle has a base equal to the bottom of the figure, which is 10 cm. The height of the triangle is also the height of the rectangle, which is 4 cm.
- Area of the triangle = (1/2) × base × height = (1/2) × 10 cm × 4 cm = 20 cm².
3. **Total Area**:
- Now, we can add the areas of the rectangle and triangle to find the total area of the figure.
- Total area = Area of the rectangle + Area of the triangle = 32 cm² + 20 cm² = 52 cm².
Therefore, the area of the figure is **52 cm²**.
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