Question

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

Answer 1

Consider the diagram shown below.

Given:

Length of the rectangle $=12\frac{1}{2}cm$

Breadth of the triangle $=10\frac{2}{3}cm$

Calculate the perimeter of the rectangle.

Perimeter $=2\times$ (Length $+$ Breadth)

$=2\times [\left(12\frac{1}{2}\right)+\left(10\frac{2}{3}\right)]$

$=2\times [(12+\frac{1}{2})+(10+\frac{2}{3})]$

$=2\times [(12+10)+(\frac{1}{2}+\frac{2}{3})]$

$=2\times [22+\left(\frac{3+4}{6}\right)]$

$=2\times [22+\frac{7}{6}]$

$=44+\frac{7}{3}$

$=44+2\frac{1}{3}$

$=46\frac{1}{3}cm$

Hence, the perimeter of the rectangle is $46\frac{1}{3}cm$.