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?(1 point)
cm2
incorrect
incorrect
To find the area of the figure, we first need to find the area of the rectangle and the area of the triangle, and then add them together.
The area of the rectangle is found by multiplying the length and width:
Area of rectangle = length * width = 8 cm * 4 cm = 32 cm^2
The area of the triangle is found by using the formula for the area of a triangle:
Area of triangle = (base * height) / 2
In this case, the base of the triangle is the bottom side of the rectangle, which is 10 cm. The height of the triangle is the left side of the rectangle, which is 4 cm.
Area of triangle = (10 cm * 4 cm) / 2 = 40 cm^2
Now we can add the areas of the rectangle and triangle together:
Total area = Area of rectangle + Area of triangle
Total area = 32 cm^2 + 40 cm^2
Total area = 72 cm^2
Therefore, the area of the figure is 72 square centimeters.
I apologize for the incorrect answer. Let's try solving it again.
The rectangle has a length of 8 cm and a width of 4 cm. Therefore, the area of the rectangle is:
Area of rectangle = length * width = 8 cm * 4 cm = 32 cm^2
The triangle on the right side is a right triangle. The base of the triangle is the bottom side of the rectangle, which is 10 cm. The height of the triangle is the height of the rectangle, which is 4 cm.
Area of triangle = (base * height) / 2 = (10 cm * 4 cm) / 2 = 20 cm^2
To find the total area, we add the area of the rectangle and the area of the triangle:
Total area = Area of rectangle + Area of triangle = 32 cm^2 + 20 cm^2 = 52 cm^2
Therefore, the area of the figure is 52 square centimeters.
Apologies for the confusion. Let's solve it again.
The figure consists of a rectangle and a right triangle.
The rectangle has a length of 8 cm and a width of 4 cm. Therefore, the area of the rectangle is:
Area of rectangle = length * width = 8 cm * 4 cm = 32 cm^2
The triangle has a base of 6 cm (as the bottom side of the rectangle is included) and a height of 4 cm (the same as the width of the rectangle). Therefore, the area of the triangle is:
Area of triangle = (base * height) / 2 = (6 cm * 4 cm) / 2 = 12 cm^2
To find the total area, we add the area of the rectangle and the area of the triangle:
Total area = Area of rectangle + Area of triangle = 32 cm^2 + 12 cm^2 = 44 cm^2
Therefore, the area of the figure is 44 square centimeters.