Question

The area of a rectangle is78 2/9sq.m, length is 10 2/3m. Find its breadth

Answer 1

$\sf\fbox\red{Given :-}$

$\large\implies{Area\: of \:the\: rectangle = 78\frac{2}{9} sq. m}$

$\large\implies{Length\: of \:the \:rectangle = 10\frac{2}{3} m}$

$\sf\fbox\blue{To Find :-}$

$\large\implies{Breadth of the rectangle}$

$\sf\fbox\green{Solution :-}$

$\large\green†{Convert\:mixed\:into\: proper\:fraction:-}$

$\large\implies{78\frac{2}{9} = \frac{884}{9} }$

$\large\implies{10\frac{2}{3} = \frac{32}{3}}$

$\large\underline{we\:know\:that,}$

$\large\bold\blue{Area\:of\:a\:rectangle = 2[length+breadth]}$

$\large\therefore\underline{Applying\:the\: formula:-}$

$\large\implies{\frac{884}{9}=2(\frac{32}{3}+Breadth)}$

$\large\implies{\frac{884}{9×2}=\frac{32}{3}+Breadth}$

$\large\implies{\frac{442}{9}=\frac{32}{3}+Breadth}$

$\large\implies{\frac{442}{9}-\frac{32}{3}=Breadth}$

$\large\implies{Breadth =\frac{346}{9}m}$

$\large\boxed{\purple{∴ Breadth =38\frac{4}{9}m}}$