Question: What is the area of this figure? [Image description: A green L-shaped figure with dimensions…

What is the area of this figure?

[Image description: A green L-shaped figure with dimensions labeled as follows:

• The longer vertical side is 8 m.
• The shorter vertical side is 2 m.
• The horizontal side on top is 3 m.
• The horizontal side on the bottom is 5 m.
• The vertical side connecting the two horizontal sides is 6 m.]

Solution

Step 1: Identify the two rectangles that make up the L-shaped figure. Step 2: Calculate the area of each rectangle. \[ \text{Area of first rectangle} = \text{width} \times \text{height} = 3\,\text{m} \times 6\,\text{m} = 18\,\text{m}^2 & \] \[ \text{Area of second rectangle} = \text{width} \times \text{height} = 5\,\text{m} \times 2\,\text{m} = 10\,\text{m}^2 & \] Step 3: Sum the areas of the two rectangles to find the total area. \[ \text{Total area} = 18\,\text{m}^2 + 10\,\text{m}^2 = 28\,\text{m}^2 \] The area of the figure is \(28\,\text{m}^2\).