Question - Calculating Area of an Irregular Figure

Solution:

To solve for the area of the irregular figure in the image, you need to break it down into simpler shapes whose area you can calculate easily, and then sum those areas.There's a central rectangle, and two squares extending from it:1. The central rectangle's dimensions appear to be 15m in length and 5m in width.2. The two squares extending from the sides of the rectangle are both 5m x 5m.Calculating the area of each:1. Area of the central rectangle = length × width = 15m × 5m = 75 square meters.2. Area of each of the squares = side × side = 5m × 5m = 25 square meters.Since there are two such squares, you'll multiply one of their areas by 2:Area of the two squares combined = 25 square meters × 2 = 50 square meters.Finally, add the areas of the central rectangle and the two squares:Total area = Area of the rectangle + Area of the two squares = 75 square meters + 50 square meters = 125 square meters.Therefore, the area of the irregular figure is 125 square meters.

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