Question - Finding the Total Area of a Composite Rectangular Figure
Solution:
The image shows a composite rectangular figure, and we are asked to find its area. The shape is somewhat like a staircase, composed of three rectangles put together. To find the total area, we can calculate the area of each rectangle and then sum them up.Looking closely at the image, though blurry, the dimensions of the rectangles are given:1. The top right rectangle has dimensions 5 cm (width) and 6 cm (height).2. The middle rectangle has dimensions 8 cm (width, same as the total width at the bottom) and 3 cm (height).3. The bottom left rectangle is a square with dimensions 3 cm by 3 cm; its size can be inferred by the measurements given for the other parts of the figure.The area of each rectangle is found by multiplying its length by its width. Let's calculate each:1. Top right rectangle:Area = width × height = 5 cm × 6 cm = 30 cm²2. Middle rectangle:Area = width × height = 8 cm × 3 cm = 24 cm²3. Bottom left square:Area = side × side = 3 cm × 3 cm = 9 cm²Now, we sum up the areas of all three rectangles to find the total area of the figure:Total area = Area of top right rectangle + Area of middle rectangle + Area of bottom left squareTotal area = 30 cm² + 24 cm² + 9 cm² = 63 cm²So, the area of the figure is 63 square centimeters.
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