Question

the area of a rectangle 65 whole 1 by 4 m² if its breath is 5 whole 7 by 16 metre find its length​

Answer 1

Answer: 12 meters

Step-by-step explanation:

$\small \bold{ The \: area \: of \: a \: room = 65\dfrac{1}{4}\ m^2}$

$\small \bold{ 65\dfrac{1}{4} \: can \: be \: written \: as \: \dfrac{4(65)+1}{4}=\dfrac{261}{4} }$

$\small\bold{Breadth \: of \: room = 5\dfrac{7}{16}\ m=\dfrac{16(5)+7}{16}\ m=\dfrac{87}{16}\ m}$

$\bold \green{Since , \text{Area= length x Breadth}}$

$\begin{gathered}\Rightarrow\ \dfrac{261}{4}=\text{length}\times\dfrac{87}{16}\\\\\Rightarrow\ \text{length}=\dfrac{261}{4}\times\dfrac{16}{87}=12\end{gathered}$

Hence, length of room = 12 meters