Question

The pieces of Tangrams have been rearranged to make the given shape.
By observing the given shape, answer the following questions:
$\cdot$ What percentage of total has been coloured ?
(i) Red (R) = ...........
(ii) Blue (B) = .........
(iii) Green (G) = ...........
$\cdot$ Check that the sum of all the percentages
calculated above should be $100.$
$\cdot$ If we rearrange bthe same pieces to form some other shape, will the percentage of colors change ?

Answer 1

i. fraction of Red (R)

$=\frac{1}{8}+\frac{1}{8}+\frac{1}{8}=\frac{3}{8}$

Now,

$\Rightarrow \frac{3}{8}\times \frac{100}{100}$

$=\frac{300}{8}\%=37.5\%$

therefore, percentage of red color $=37.5\%$

ii. Fraction for Blue (B)

$=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}$

Now,

$\Rightarrow \frac{1}{2}\times \frac{100}{100}$

$=\frac{100}{2}\%=50\%$

therefore, percentage of blue color $=50\%$

iii. Fraction for Green (G)

$=\frac{1}{16}+\frac{1}{16}=\frac{1}{8}$

Now,

$\Rightarrow \frac{1}{8}\times \frac{100}{100}$

$=\frac{100}{8}\%=12.50\%$

therefore, percentage of blue color $=12.50\%$

Now, sum of all percentage

$=(37.5+50+12.5)\%=100\%$

the percentage of color will not change if we rearrange the same pieces to form another shape.