Question

a rectangular room of size 5m * 35dm is to be carpeted with a carpet 7dm wide. Find the length of the carpet​

Answer 1

$\bf{\Huge{\underline{\underline{\sf{ANSWER\::}}}}}$

$\sf{\Large{\underline{\sf{Given\::}}}}$

A rectangular room of size 5 dm * 35 dm is to carpeted with a carpet 7 dm wide.

$\sf{\Large{\underline{\sf{To\:find\::}}}}$

The length of the carpet.

$\bf{\Large{\underline{\underline{\tt{\red{Explanation\::}}}}}}$

Using formula of the area of rectangle:

$\boxed{\sf{\red{Area\:of\:rectangle\:=\:Length*Breadth}}}}$

$\bf{\pink{Given}\begin{cases}\sf{Length\:(L)\:=\:5m}\\ \sf{Breadth\:(D)\:=\:35dm=3.5m}\\ \sf{Width\:(W)\:=\:7dm=0.7m}\end{cases}}$

A/q

$|\implies\sf{Area\:of\:rectangular\:room\:=\:5 m*3.5m}\\\\\\\\|\implies\sf{\red{Area\:of\:rectangular\:room\:=\:17.5m^{2}} }\\\\\\\\Now,\\\\\\|\implies\sf{Length\:of\:the\:carpet\:=\:\dfrac{Area\:of\:rectangular\:room}{Width\:of\:carpet} }\\\\\\\\|\implies\sf{Length\:of\:the\:carpet\:=\:\cancel{\dfrac{17.5}{0.7}} m}\\\\\\\\|\implies\sf{\red{Length\:of\:the\:carpet\:=\:25m}}$

Thus,

The length of the carpet is 25m.