Answer:
[tex]Length=19\,inches\\\\Width=9\,inches[/tex]
Step-by-step explanation:
Let, the length of the rectangle be 'L',
Width of the rectangle be 'W'
[tex]L=(W+10)\,inches[/tex]
Perimeter of the rectangle= [tex]56\,inches[/tex]
Perimeter of the rectangle= [tex]2(Length+Width)[/tex]
[tex]56=2(W+10+W)\\\\\dfrac{56}{2} =W+10+W\\\\28=2W+10\\\\28-10=2W\\\\18=2W\\\\W=\dfrac{18}{2}\\\\ W=9\,inches[/tex]
As,
[tex]L=(W+10)\,inches[/tex]
[tex]L=9+10\\\\L=19\,inches[/tex]
[tex]Length=19\,inches\\\\Width=9\,inches[/tex]
