Question

A hexagonally shaped metal sheet covered (one side of the sheet) with clothes of different colours is shown in the following figure. The area of the total cloth used is $80c{m}^2$ and the area of the yellow cloth used is $60c{m}^2$. If the red coloured 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 coloured cloth used?

• A. 6 cm²
• B. 8 cm²
• C. 12 cm²
• D. 14 cm²

Answer 1

The correct option is D

14 cm²

Area of the blue cloth $=\frac{1}{10}of60c{m}^2=6c{m}^2$

Area of red cloth + Area of blue cloth = $20c{m}^2$

Area of red cloth = $(20-6)c{m}^2=14c{m}^2$