Question - Calculating Area of Irregular Figure Using Rectangles
Solution:
To find the area of the irregular figure drawn in the image, we can split it into simpler shapes, such as rectangles, compute their areas, and then sum these areas.The figure can be split into three rectangles labeled A, B, and C in the image. Here's how to calculate each rectangle's area:- Rectangle A has a width of 4m. To find its height, we subtract the width of Rectangle C (which is 8m) from the total width of the structure (which is 12m). This gives us 12m - 8m = 4m. Therefore, the area of Rectangle A is 4m x 4m = 16m².- Rectangle B is directly beneath Rectangle A, sharing the width of 4m, and stretches across the entire height of the structure, which is 8m. Therefore, the area of Rectangle B is 4m x 8m = 32m².- Rectangle C has a width of 8m and also stretches across the entire height of the structure, 8m. Its area is 8m x 8m = 64m².Finally, we sum the areas of Rectangles A, B, and C to get the total area of the figure:Total area = Area of A + Area of B + Area of CTotal area = 16m² + 32m² + 64m²Total area = 112m²So, the area of the irregular figure is 112 square meters.
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