Question

Joanne buys a rug with an areas of 35/4 square meters. The length of the rug is 7/2 meters, What is the width , in meters, of the rug?

Answer 1

$\bf \textit{area of a rectangle}\\\\ A=l\cdot w\quad \begin{cases} l=length\\ w=width\\ -----\\ A=\frac{35}{4}\\\\ l=\frac{7}{2} \end{cases}\implies \cfrac{35}{4}=\cfrac{7}{2}w\implies \cfrac{\quad \frac{35}{4}\quad }{\frac{7}{2}}=w \\\\\\ \cfrac{35}{4}\cdot \cfrac{2}{7}=w\implies \cfrac{35}{14}=w\implies 2\frac{7}{14}=w$