Answer:
[tex]5x+4[/tex] units.
Step-by-step explanation:
Let x be the width of rectangle.
We have been given that the length of garden is 2 units more than 1.5 times it’s width. So length of the rectangle will be: [tex]1.5x+2[/tex].
To find the length of total fencing we need to figure out perimeter of rectangle with width x and length [tex]1.5x+2[/tex].
Since we know that perimeter of a rectangle is two times the sum of its length and width.
[tex]\text{Perimeter of rectangle}=2(\text{Length+Width})[/tex]
Upon substituting length and width of garden in above formula we will get,
[tex]\text{Perimeter of rectangular garden}=2(1.5x+2+x)[/tex]
[tex]\text{Perimeter of rectangular garden}=2(2.5x+2)[/tex]
Upon using distributive property we will get,
[tex]\text{Perimeter of rectangular garden}=2*2.5x+2*2[/tex]
[tex]\text{Perimeter of rectangular garden}=5x+4[/tex]
Therefore, the length of required fencing will be [tex]5x+4[/tex] units.
