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The top surface of a desk is composed of 2 rectangles and a triangle. Some side lengths of the top surface of the desk are shown.
What is the area of the top surface of the desk in square feet?
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To find the area of the top surface of the desk, we need to calculate the area of each individual shape and then add them together.
Let's start with the rectangles. The area of a rectangle can be found by multiplying its length by its width.
In the given image, one rectangle has a length of 4 ft and a width of 3 ft, while the other rectangle has a length of 8 ft and a width of 2 ft. Therefore, the area of the first rectangle is 4 ft * 3 ft = 12 square feet, and the area of the second rectangle is 8 ft * 2 ft = 16 square feet.
Now let's move on to the triangle. The area of a triangle can be found by multiplying its base by its height and then dividing by 2.
In the given image, the base of the triangle is 6 ft and the height is 3 ft. Therefore, the area of the triangle is (6 ft * 3 ft) / 2 = 9 square feet.
Finally, to find the total area of the top surface of the desk, we add the areas of the rectangles and the triangle together: 12 square feet + 16 square feet + 9 square feet = 37 square feet.
So, the area of the top surface of the desk is 37 square feet.