Answer:
18 and 5
Step-by-step explanation:
if 'x' - is the length and 'y' - the width of the rectangle, then
2(x+y)=46 - perimeter of the original rectangle and 2(2x+(y+5))=66 - the perimeter of the new rectangle.
[tex]\left \{ {{x+y=23} \atop {2x+y=28}} \right. \=> \ \left \{ {{x=5} \atop {y=18}} \right.[/tex]
Finally, the length is x=5 and the width is y=18.