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What is the name of the shape and what is its perimeter?

Mathematics

ScanSolve AI Answer

Answer

24 cm\text{24 cm}

Step-by-step solution

4 steps

9. This is called a \hspace{1.5cm}

  1. Identify the characteristics of the shape.

    The shape has four exterior sides. The top side is 7 cm7 \text{ cm} and the bottom side is 7 cm+3 cm=10 cm7 \text{ cm} + 3 \text{ cm} = 10 \text{ cm}. These two sides are parallel. The left side is vertical (5 cm5 \text{ cm}), making it perpendicular to the parallel sides. A quadrilateral with exactly one pair of parallel sides is called a trapezium.

    The shape is a trapezium.

    10. The perimeter of the shape above is \hspace{1.5cm}

  2. Identify all the outer boundary lengths of the shape.

    The outer boundary consists of four sides:

    • Top horizontal side: 7 cm7 \text{ cm}
    • Right slanted side: 2 cm2 \text{ cm}
    • Bottom horizontal side: 7 cm+3 cm=10 cm7 \text{ cm} + 3 \text{ cm} = 10 \text{ cm}
    • Left vertical side: 5 cm5 \text{ cm}
  3. Calculate the perimeter by summing the lengths of these outer sides.

    Perimeter=7 cm+2 cm+10 cm+5 cm\text{Perimeter} = 7 \text{ cm} + 2 \text{ cm} + 10 \text{ cm} + 5 \text{ cm}
  4. Perform the addition.

    Perimeter=24 cm\text{Perimeter} = 24 \text{ cm}

    The perimeter of the shape above is 24 cm\text{24 cm}.

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