1. Calculate the area of a triangle with a base of 10 cm and a height of 5 cm. 2. Calculate the area of a rectangle with a length of 8 cm and a width of 4 cm.
Understand the Problem
The question is requesting a solution to two specific problems related to calculating the area of geometric shapes. It emphasizes understanding techniques for finding areas and involves both triangular and rectangular shapes, indicating a focus on geometry.
Answer
The area of the triangle is $25 \, \text{cm}^2$ and the area of the rectangle is $32 \, \text{cm}^2$.
Answer for screen readers
The area of the triangle is $25 , \text{cm}^2$, and the area of the rectangle is $32 , \text{cm}^2$.
Steps to Solve
- Calculate the area of the triangle
To find the area of a triangle, use the formula:
$$ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} $$
Given the base is 10 cm and the height is 5 cm:
$$ \text{Area}_{\text{triangle}} = \frac{1}{2} \times 10 , \text{cm} \times 5 , \text{cm} = 25 , \text{cm}^2 $$
- Calculate the area of the rectangle
To find the area of a rectangle, use the formula:
$$ \text{Area} = \text{length} \times \text{width} $$
Given the length is 8 cm and the width is 4 cm:
$$ \text{Area}_{\text{rectangle}} = 8 , \text{cm} \times 4 , \text{cm} = 32 , \text{cm}^2 $$
The area of the triangle is $25 , \text{cm}^2$, and the area of the rectangle is $32 , \text{cm}^2$.
More Information
Triangles and rectangles are fundamental geometric shapes. The formulas for their areas are crucial in various applications, including architecture, engineering, and design.
Tips
- Forgetting to use the correct formula for each shape.
- Mixing up the base and height of the triangle, leading to incorrect calculations.
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