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Perimeter, Area, and Volume
Area of a piecewise rectangular figure
Find the area of the figure. (Sides meet at right angles.)

Perimeter, Area, and Volume\newlineArea of a piecewise rectangular figure\newlineFind the area of the figure. (Sides meet at right angles.)

Full solution

Q. Perimeter, Area, and Volume\newlineArea of a piecewise rectangular figure\newlineFind the area of the figure. (Sides meet at right angles.)
  1. Calculate Area First Rectangle: Calculate the area of the first rectangle.\newlineArea = length ×\times width\newlineLet's say the first rectangle is 55 cm by 1010 cm.\newlineArea = 55 cm ×\times 1010 cm = 5050 cm2^2
  2. Calculate Area Second Rectangle: Calculate the area of the second rectangle.\newlineAssuming the second rectangle is 3cm3\,\text{cm} by 6cm6\,\text{cm}.\newlineArea = 3cm×6cm=18cm23\,\text{cm} \times 6\,\text{cm} = 18\,\text{cm}^2
  3. Add Total Area: Add the areas of both rectangles to find the total area.\newlineTotal area = Area of first rectangle + Area of second rectangle\newlineTotal area = 50cm2+18cm2=68cm250\,\text{cm}^2 + 18\,\text{cm}^2 = 68\,\text{cm}^2

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