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Calculate the perimeter of the following shapes:

Mathematics

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Here is the solution for the first shape in the image:

1. Calculate the perimeter of the following shapes:

  • Shape (a): To find the perimeter of this rectilinear shape, we sum the lengths of all its outer sides.

  1. Identify all given side lengths.

    The given horizontal lengths are $2 \text{ cm}$, $1 \text{ cm}$, $2 \text{ cm}$ (top segments) and $5 \text{ cm}$ (bottom segment).  
The given vertical lengths are $3 \text{ cm}$ (right side) and $1.5 \text{ cm}$ (inner vertical segment going down).

  2. Determine the lengths of any missing sides.

    • The total width of the shape is the sum of the top horizontal segments: $2 cm
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