Question

In the following figure, the area of the total cloth required is $80c{m}^2$ and the area of the yellow cloth required is $60c{m}^2$. If the red colored parts are congruent to each other and the blue cloth is $\frac{1}{{10}^{th}}$ of the yellow cloth, what is the area of the red cloth required?

Answer 1

Given that the area of the blue cloth = $\frac{1}{10}ofareaofyellowcloth$

$\Rightarrow \frac{1}{10}of60c{m}^2=6c{m}^2$

Since area of the total cloth = Area of the yellow cloth + Area of the blue cloth + Area of the red cloth required,

$\Rightarrow$Area of the red cloth required = Area of the total cloth - Area of the yellow cloth - Area of the blue cloth

$\Rightarrow 80c{m}^2-60c{m}^2-6c{m}^2$=$14c{m}^2$

Thus, area of the red cloth = $14c{m}^2$