Question - Calculating Area of L-Shaped Polygon
Solution:
The image displays an L-shaped polygon with dimensions given in units. To find the area of the polygon, we would typically divide the shape into smaller, more manageable rectangles or squares, calculate the area of each, and then combine these areas. However, in this case, it's simpler to subtract the area of the missing rectangle from the area of the larger rectangle that would encompass the entire L-shape.So first, let’s find the outer rectangle’s dimensions if the L-shape was closed to form a rectangle. The width of the rectangle would be 15 units (as given), and the length would be 7 + 7 = 14 units.Now calculate the outer rectangle’s area: 15 units * 14 units = 210 square units.Next, subtract the area of the missing bottom-right rectangle, which has dimensions of 13 units by 7 units: 13 * 7 = 91 square units.Finally, subtract the area of the smaller rectangle from the area of the larger rectangle:210 square units - 91 square units = 119 square units.So, the area of the L-shaped polygon is 119 square units.
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