Answer: The width of the roped off area would be 11 feet.
Step-by-step explanation:
Since we have given that
Length of rope = 42 feet
Length of building = 10 feet
Since you want to rope off an area that is adjacent to a building.
So, As we know that Perimeter of rectangle is given by
[tex]Perimeter=2(l+b)\\\\42=2(10+b)\\\\\dfrac{42}{2}=10+b\\\\21=10+b\\\\21-10=b\\\\11=b[/tex]
Hence, the width of the roped off area would be 11 feet.