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