Answer:
To find the area of the given figure, we can divide it into two separate shapes, a rectangle and a triangle, and then add their areas together.
First, we can find the area of the rectangle by multiplying its length and width. From the diagram, we can see that the length of the rectangle is 12 cm and the width is 5 cm.
Area of rectangle = length x width
Area of rectangle = 12 cm x 5 cm
Area of rectangle = 60 cm^2
Next, we can find the area of the triangle by using the formula for the area of a triangle, which is:
Area of triangle = 1/2 x base x height
From the diagram, we can see that the base of the triangle is 5 cm and the height is 8 cm.
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 5 cm x 8 cm
Area of triangle = 20 cm^2
Finally, we can find the total area of the figure by adding the area of the rectangle and the area of the triangle:
Total area = area of rectangle + area of triangle
Total area = 60 cm^2 + 20 cm^2
Total area = 80 cm^2
Therefore, the area of the given figure is 80 square centimeters.
Explanation: