Area of Rectilinear Shapes
Calculate the area of various rectilinear shapes by decomposing them into simpler rectangles.
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Area of Rectilinear Shapes Worksheet
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Read each question carefully and calculate the area of the rectilinear shapes. Show your work where necessary.
1. Find the area of the rectilinear shape shown below:
Show your work:
Area: square cm
2. A rectilinear shape can be broken down into simpler shapes, such as , to calculate its area.
3. If a rectilinear shape has a total area of 45 square meters and one rectangular part has an area of 20 square meters, the area of the remaining part is square meters.
4. Which of the following strategies is NOT typically used to find the area of a rectilinear shape?
Decomposition into rectangles
Subtraction of areas
Using the Pythagorean theorem
Counting unit squares
5. Consider a rectilinear shape that can be divided into two rectangles. The first rectangle has dimensions of 7 cm by 4 cm. The second rectangle has dimensions of 5 cm by 3 cm. What is the total area of the rectilinear shape?
Total Area: square cm
6. The perimeter of a rectilinear shape is always equal to its area.
True
False
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