Find the area of the 2D figure below, formed from a triangle and a rectangle, in square centimeters.
A figure is formed from a right triangle and a rectangle. The rectangle is 10 centimeters long and 2 centimeters wide. The legs that make up the right angle of the triangle are 6 centimeters and 8 centimeters. The hypotenuse is where the triangle and the long side of the rectangle connect.
A)68 square centimeters
B) 58 square centimeters
C) 44 square centimeters
D) 34 square centimeters
To find the area of the figure, we need to find the area of the triangle and the area of the rectangle separately, and then add them together.
The area of a triangle is given by the formula A = 0.5 * base * height.
In this case, the base of the triangle is 6 centimeters and the height is 8 centimeters. So the area of the triangle is 0.5 * 6 * 8 = 24 square centimeters.
The area of a rectangle is given by the formula A = length * width.
In this case, the length of the rectangle is 10 centimeters and the width is 2 centimeters. So the area of the rectangle is 10 * 2 = 20 square centimeters.
Now we can add the area of the triangle and the area of the rectangle together to find the total area of the figure: 24 + 20 = 44 square centimeters.
Therefore, the area of the figure is 44 square centimeters, so the correct answer is C) 44 square centimeters.