Answer:
The width of given rectangular rug is \(\frac{5}{2}\) meters.
Step-by-step explanation:
Given: Joanne buys a rectangle at rug rug with an area of \(\frac{35}{4}\) square meters. The length of the rug is \(\frac{7}{2}\) meters.
We have to find the width of the given rug.
Since, Area of rectangle = length × width
Here, Area = \(\frac{35}{4}\) square meters
and length = \(\frac{35}{4}\) meters.
Substitute, we have,
\(\frac{35}{4}=\frac{7}{2}\times width\)
Multiply both side by \(\frac{2}{7}\) , we have,
\(\frac{35}{4}\times \frac{2}{7}=width\)
Simplify, we have,
\(width=\frac{5}{2}\)
Thus, The width of given rectangular rug is \(\frac{5}{2}\) meters.