Questions: Introduction to area of a plecewise rectangular figure Find the area of the figure. (Sides meet at right angles.)

Solution Steps

We can divide the given figure into two rectangles. The first rectangle has dimensions 2 ft by 2 ft. The second rectangle has dimensions 3 ft by 5 ft.

The area of the first rectangle is \(2 \text{ ft} \times 2 \text{ ft} = 4 \text{ ft}^2\).

The area of the second rectangle is \(3 \text{ ft} \times 5 \text{ ft} = 15 \text{ ft}^2\).

The total area of the figure is the sum of the areas of the two rectangles: \(4 \text{ ft}^2 + 15 \text{ ft}^2 = 19 \text{ ft}^2\).

Final Answer The final answer is $\boxed{19}$