1. **Problem:** Find the area of the L-shaped polygon with sides 18 m, 25 m, 5 m, and 30 m. 2. **Formula and approach:** To find the area of an L-shaped polygon, we can divide it into two rectangles and sum their areas. 3. **Step 1:** Identify the two rectangles. - Rectangle A: length = 18 m, width = 25 m - Rectangle B: length = 5 m, width = 30 m - 25 m = 5 m (since 30 m is total height and 25 m is part of it) 4. **Step 2:** Calculate the area of each rectangle. - Area of Rectangle A = $18 \times 25 = 450$ m² - Area of Rectangle B = $5 \times 5 = 25$ m² 5. **Step 3:** Add the areas to get the total area. - Total area = $450 + 25 = 475$ m² 6. **Answer:** The area of the L-shaped polygon is **475 square meters**.