This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Trapezium
Here are the solutions to problems 9 and 10:
: This is called a _________
Step 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.
Step 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.
: The perimeter of the shape above is _________
Step 1: Identify all the outer side lengths of the shape. The perimeter is the total length of the boundary of the shape. • Top side: • Left vertical side: • Bottom side (composed of two segments): • Slanted right side: (as labeled in the diagram)
Step
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This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.