Share
Find the Area of a 7cm x 5cm Rectangle with a 4cm Triangle
Published on October 7, 2024
Geometry
This math problem asks you to calculate the area of a composite shape made up of a rectangle and a triangle. The rectangle has a length of 7 cm and a width of 5 cm, while the triangle has a base of 4 cm and a height of 5 cm. The solution involves calculating the area of each shape individually and then adding them together to find the total area, which is 45 cm².
Question
Answer
We can divide this shape into a rectangle and a triangle:
- Rectangle:
- Length = 7 cm
- Width = 5 cm
- Triangle:
- Base = 4 cm
- Height = 5 cm (same as the rectangle’s width)
1. Calculate the area of the rectangle:
- Area of rectangle = Length * Width
- Area of rectangle = 7 cm * 5 cm = 35 cm²
2. Calculate the area of the triangle:
- Area of triangle = (1/2) * Base * Height
- Area of triangle = (1/2) * 4 cm * 5 cm = 10 cm²
3. Add the areas together to find the total area:
- Total area = Area of rectangle + Area of triangle
- Total area = 35 cm² + 10 cm² = 45 cm²
Therefore, the area of the shape is 45 cm².