Use the image to answer the question.
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?
the answer is 36
To find the area of the figure, we need to find the area of the rectangle and the area of the triangle separately, and then add them together.
Area of the rectangle = length x width = 10 cm x 4 cm = 40 cm²
To find the area of the triangle, we can use the formula:
Area = 0.5 x base x height
The base of the triangle is the extended top of the rectangle, so the base is 8 cm. The height of the triangle is the side of the rectangle, which is 4 cm.
Area of the triangle = 0.5 x 8 cm x 4 cm = 16 cm²
Now we add the area of the rectangle and the area of the triangle:
Total area = 40 cm² (rectangle) + 16 cm² (triangle) = 56 cm²
Therefore, the area of the figure is 56 square centimeters.