Question

find the perimeter of the composite figure, which is comprised of an isosceles trapezoid atop a square. the figure is not drawn to scale. draw 5 cm 8 cm 11 cm show your work here hint: to add the square root symbol (√), type
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Explanation:

Step1: Analyze the composite figure's sides

The composite figure has sides: two sides of \( 8 \text{ cm} \), one side of \( 5 \text{ cm} \), one side of \( 11 \text{ cm} \), and two sides (from the square part) equal to \( 11 \text{ cm} \) (since it's a square, the vertical sides adjacent to the trapezoid are same as the base of the square which is \( 11 \text{ cm} \)). But when calculating perimeter, we don't double - count the common side between trapezoid and square.

Step2: Calculate the perimeter

Perimeter \( P=5 + 8+8 + 11+11\)

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Answer:

\( 43 \text{ cm} \)