Question

The pieces of Tangrams have been rearranged to make the given shape.

By observing the given shape, answer the following questions:

• What percentage of total has been coloured?

1. Red (R) = ______
2. Blue (B) = ______
3. Green (G) = ______

• Check that the sum of all the percentages calculated above should be 100.
• If we rearrange the same pieces to form some other shape, will the percentage of colours change?

Answer 1

i. Total fraction for Red (R)

= `1/8 + 1/8 + 1/8`

= `3/8`

Now, `3/8 = 3/8 xx 100/100`

= `300/8%`

= 37.5%

∴ Percentage of red colour = 37.5%

ii. Total fraction for Blue (B)

= `1/4 + 1/4`

= `2/4`

= `1/2`

Now, `1/2 = 1/2 xx 100/100`

= `100/2%`

= 50%

∴ Percentage of blue colour = 50%

iii. Total fraction for Green (G)

= `1/16 + 1/16`

= `2/16`

= `1/8`

Now, `1/8 = 1/8 xx 100/100`

= `100/8%`

= 12.5%

∴ Percentage of green colour = 12.5%

Now, sum of all percentage

= 37.5% + 50% + 12.5%

= 100%

If we rearrange the same pieces to form some other shape, then percentage of colours will not change.