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Calculate the perimeters of the two figures shown below. Provide a step-by-step solution.

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

Here are the perimeters for the given figures:

Figure 1 (House shape):

  1. Identify all given side lengths.

    The figure consists of a triangle on top of a rectangle.
    Triangle sides: 11 cm11 \text{ cm} (left slant), 10 cm10 \text{ cm} (right slant). The base of the triangle is 15 cm15 \text{ cm}.
    Rectangle sides: 12 cm12 \text{ cm} (left vertical), 12 cm12 \text{ cm} (right vertical), 15 cm15 \text{ cm} (bottom horizontal). The top horizontal side of the rectangle is shared with the base of the triangle, so it is an internal line and not part of the perimeter.

  2. Sum all the

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