A figure is drawn on a piece of square paper with length 40 cm as shown. The figure is made up of 1 large quarter circle, 1 small quarter circle, 1 square and 4 straight lines. AB = 14 cm, and BC = CD.

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Worked solution

1. Find the combined length of BC and CD

$\text{Total length} = 40\text{ cm}$
$BC + CD = 40 - 14 = 26\text{ cm}$

2. Find the length of BC using the fact that BC = CD

$\text{Since } BC = CD,$
$BC = 26 \div 2 = 13\text{ cm}$

Answer

$13\text{ cm}$

AI analysis — may contain mistakes.

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