The figure is composed of two trapezoids. Measurements are given in feet.
4 feet. 2 feet. 5 feet. 2 feet. 3 feet.
What is the area of the figure in square feet?
To find the area of the figure, we need to add up the areas of the two trapezoids.
The first trapezoid has a height of 4 feet and bases of 2 feet and 5 feet. The formula for the area of a trapezoid is given by:
Area = (Base1 + Base2) * Height / 2
So, the area of the first trapezoid is:
Area1 = (2 + 5) * 4 / 2 = 7 * 4 / 2 = 28 / 2 = 14 square feet.
The second trapezoid has a height of 2 feet and bases of 5 feet and 3 feet. The formula for the area of a trapezoid is the same, so the area of the second trapezoid is:
Area2 = (5 + 3) * 2 / 2 = 8 * 2 / 2 = 16 / 2 = 8 square feet.
Now, we can find the total area by adding the areas of the two trapezoids:
Total Area = Area1 + Area2 = 14 + 8 = 22 square feet.
Therefore, the area of the figure is 22 square feet.