Question - Calculating Area of Composite Shape
Solution:
To find the area of the shape in the image, the shape can be broken down into rectangular parts. With the given dimensions, we can configure two rectangles:1. The first rectangle or the larger part has a length of 15 meters. We need to find the width of this part. By analyzing the dimensions given for the smaller parts, we can see that the overall width must be 8 meters (since one side is 8 meters and the width is consistent across that length).2. The second rectangle has a length that is the difference between 15 meters and 5 meters (the length of the overlap), which is 10 meters. It has a width of 5 meters.Once we have identified these two rectangles, we can calculate their areas and sum them up:Area of larger rectangle: $$15 m \times 8 m = 120 m^2$$Area of smaller rectangle: $$10 m \times 5 m = 50 m^2$$Adding these two areas together:Total area = $$120 m^2 + 50 m^2 = 170 m^2$$Therefore, the area of the given shape is 170 square meters.
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