Which of the following shows 25% of the figure shaded?

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Worked solution

4

1. Convert the required percentage to a fraction

25%=25100=1425\% = \frac{25}{100} = \frac{1}{4}

2. Analyse Figure (1)

Figure (1) is divided into 88 equal triangles. 22 are shaded.
Fraction shaded = 28=14=25%\frac{2}{8} = \frac{1}{4} = 25\%.

3. Analyse the other figures to confirm

Figure (2): 55 out of 1616 equal squares are shaded (516≠14\frac{5}{16} \neq \frac{1}{4}).
Figure (3): 11 out of 44 strips is shaded, but the strips are not equal in area, so it is not 14\frac{1}{4}.
Figure (4): 11 out of 55 equal sectors is shaded (15=20%≠25%\frac{1}{5} = 20\% \neq 25\%).

Answer

Figure (1) (option 1)

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