Hey there!!
A rectangle has length and width. In this the two lengths and the two width would be equal.
Perimeter = length + breadth + length + breadth
Perimeter = 2 ( length + breadth )
Let's take the measure of the width as ' w '
Then, the length is given by 3 meters less than double the width
double the width = 2w
3 less than double the width = 2w - 3
Hence, the measure of the length is 2w - 3
Now, let's plug in these values for the perimeter :
2 ( w + 2w - 3 )
Given perimeter is 42 meters
Hence,
2 ( w + 2w - 3 ) = 42
... 2 ( 3w - 3 ) = 42
... 6w - 6 = 42
Adding 6 on both sides
... 6w = 48
Dividing by 6 on both sides
... w = 48 / 6
... w = 8
Hence, the width is 8 meters
We know the width is 8 meters and the length is 2w - 3
Now plug in the values...
... 2 ( 8 ) - 3
... 16 - 3
... 13 meters.
Hence, the width is 8 meters and the length is 13 meters.
Hope my answer helps!!