Hey there!!
Perimeter of a rectangle = 2 ( length + breadth )
Width is given by ' w '
Length is given by ' 4w - 3 '
Now, let's plug in the values ...
2 ( 4w - 3 + w ) = perimeter
2 ( 5w - 3 ) = perimeter
10w - 6 = perimeter
And then, w is given by 8 cm
10 ( 8 ) - 6
80 - 6
74 cm
Hence, the perimeter is 74 cm
Hope my answer helps!!