Question

Question 4
A rectangular sheet of paper is $12\frac{1}{2}$ cm long and $10\frac{2}{3}$ cm wide. Find the perimeter.

Answer 1

$\text{Length of sheet}=\text{12}\frac{\text{1}}{\text{2}}\text{cm and Breadth of sheet}=\text{10}\frac{\text{2}}{\text{3}}\text{cm}\text{Perimeter of rectangle}=\text{2 (length}+\text{breadth)}=2\left(12\frac{1}{2}+10\frac{2}{3}\right)=2\left(\frac{25}{2}+\frac{32}{3}\right)=2\left(\frac{25\times 3+32\times 2}{6}\right)=2\left(\frac{75+64}{6}\right)=2\times \frac{139}{6}=\frac{139}{3}=46\frac{1}{3}\text{cm}\text{Thus, the perimeter of the rectangular sheet is 46}\frac{\text{1}}{\text{3}}\text{cm}$