To find the area of the figure formed by a triangle and a rectangle, you can calculate the areas of both shapes and then add them together.
The figure consists of a rectangle and a triangle.
Rectangle:
The rectangle has dimensions of length = 25 mm and width = 15 mm. To find its area, use the formula for the area of a rectangle, which is length × width:
Area of rectangle = 25 mm × 15 mm = 375 square millimeters
Triangle:
The triangle has a base of 20 mm and a height of 2.25 mm. To find its area, use the formula for the area of a triangle, which is (1/2) × base × height:
Area of triangle = (1/2) × 20 mm × 2.25 mm = 22.5 square millimeters
Now, add the areas of the rectangle and the triangle together:
Total area = Area of rectangle + Area of triangle
Total area = 375 square millimeters + 22.5 square millimeters
Total area = 397.5 square millimeters
So, the area of the figure is 397.5 square millimeters.