Answer:
The length of the required rug is 8ft
Step-by-step explanation:
Given
[tex]Area = 81ft^2[/tex]
Required
Determine the length that will fit an entry with an edge of 1 foot
First, we need to determine the lengths of the rug;
Since, the rug is a square:
[tex]Area = Length^2[/tex]
[tex]81 = Length^2[/tex]
Take Square root
[tex]\sqrt{81} = Length[/tex]
[tex]Length = 9[/tex]
The length of the rug is 9 feet
To determine the rug that would feet the entry, we have to subtract the length of the edges;
[tex]Rug\ Length = 9ft - 1ft[/tex]
[tex]Rug\ Length = 8ft[/tex]
Hence;
The length of the required rug is 8ft
