a rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide find its perimeter - Maths - Integers

Question

a rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide
find its perimeter

Lalit Mehra · Accepted Answer

Dear Student!

Length of the rectangular sheet, l = $12 \frac{1}{2} units= \frac{(12 \times 2 + 1)}{2} units= (\frac{24 + 1}{2}) units = \frac{25}{2} units$

Breadth of the rectangular sheet, $b =10 \frac{2}{3} units$ $= \frac{(10 \times 3 + 2)}{3} units = \frac{(30 + 2)}{3} units = \frac{32}{3} units$

Perimeter of the rectangular sheet

= 2 (l + b)

$= 2 (\frac{25}{2} unit + \frac{32}{3} units) = 2 (\frac{25 \times 3}{2 \times 3} + \frac{32 \times 2}{3 \times 2}) units = 2 (\frac{75}{6} + \frac{64}{6}) units = 2 (\frac{75 + 64}{6}) units = 2 (\frac{139}{6}) units = \frac{139}{3} units$

Thus, the perimeter of the rectangular sheet is $\frac{139}{3} units$ .

Cheers!