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Identify the shape and calculate its perimeter based on the provided diagram and its measurements.

Mathematics

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Answer

Trapezium\text{Trapezium}

Step-by-step solution

3 steps

Here are the solutions to problems 9 and 10:

: This is called a _________

  1. Observe the properties of the shape.

    The shape is a quadrilateral (a four-sided polygon). It has one pair of parallel sides (the top side and the entire bottom side). The left side is perpendicular to the parallel sides.

  2. Identify the name based on its properties.

    A quadrilateral with at least one pair of parallel sides is called a trapezium (or trapezoid). Since one of its non-parallel sides is perpendicular to the parallel sides, it is specifically a right-angled trapezium.

    The shape is a Trapezium.

    Trapezium\boxed{\text{Trapezium}}

    : The perimeter of the shape above is _________

  3. Identify all the outer side lengths of the shape.

    The perimeter is the total length of the boundary of the shape.

    • Top side: 7 cm7 \text{ cm}
    • Left vertical side: 5 cm5 \text{ cm}
    • Bottom side (composed of two segments): 7 cm+3 cm=10 cm7 \text{ cm} + 3 \text{ cm} = 10 \text{ cm}
    • Slanted right side: 2 cm2 \text{ cm} (as labeled in the diagram)

    Step

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