Answer : Breadth will be 10 feet .
Explanation :
Let length of rectangular deck be x
Let breadth of rectangular deck be x-8
Since we have given that
Perimeter = 56 feet
And we know that ,
[tex]Perimeter = 2(L+B) = 56[/tex]
⇒ [tex]2(x+x-8)= 56[/tex]
⇒[tex]2(2x-8)=56[/tex]
⇒[tex]4x-16 = 56[/tex]
⇒[tex]4x =56+16[/tex]
⇒[tex]4x= 72[/tex]
⇒[tex]x= \frac{72}{4}[/tex]
⇒[tex]x= 18 feet[/tex]
So, the breadth will be [tex]x-8 = 18-8 =10 feet[/tex]
