Question

A rectangular grass lawn has an area of 25 1/6 sq m. If one side is 6 2/3 m, how long is the other side?

Answer 1

$\red{ \boxed{ \sf Area _{rectangle }= \large l \times b }}$

$\implies 25 \frac{1}{6} = (6 \frac{2}{3}) \times (b)$

$\implies \frac{151}{6} = ( \frac{20}{3} ) \times (b)$

$\implies b= ( \frac{3}{20} ) \times ( \frac{151}{ 6} )$

$\implies b = \frac{151}{40}$

$\orange{ \sf \therefore b(other\:side) = 3 \frac{31}{40} \: m \: \: \: (or) \: \: \frac{151}{40} \: m }$

Answer 2

Step-by-step explanation:

$area = \: 25 \frac{1}{6} \: {m}^{2}$

$= \frac{151}{6}$

$one \: side = 6 \frac{2}{3} \: m$

$= \frac{20}{3}$

$area = l \times b \\ \frac{151}{6} = l \times \frac{20}{3}$

$l = \frac{151 \times3 }{6 \times 20}$

$l = \frac{151}{40}$

$\: the \: other \: side= 3 \ \frac{31}{40} m$