Question - Calculating Area of Composite Figure Using Rectangles
Solution:
To find the area of the composite figure shown in the image, we can divide it into simpler shapes (such as rectangles) and then calculate the area of each before summing them up.From the image, it appears that we can divide the figure into two rectangles:1. The larger rectangle on the left, which has a width of 3 cm (since the entire bottom length is 8 cm, and the length to the right is 5 cm, the difference is 8 cm - 5 cm = 3 cm) and a height of 6 cm.2. The smaller rectangle on the right, which has a width of 5 cm and a height of 2 cm (since the entire length on the left is 6 cm, and the topmost length is 4 cm, the difference is 6 cm - 4 cm = 2 cm).Let's calculate their areas:For the larger rectangle:Area = width × height = 3 cm × 6 cm = 18 cm²For the smaller rectangle:Area = width × height = 5 cm × 2 cm = 10 cm²Now, we add the areas of the two rectangles together to get the total area of the figure:Total Area = Area of larger rectangle + Area of smaller rectangleTotal Area = 18 cm² + 10 cm² = 28 cm²So, the area of the figure is 28 square centimeters.
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