Answer:
[tex]6w+3[/tex]
Step-by-step explanation:
Given:
The length of a rectangle is 3/2 units greater than twice its width.
If its width is w
Question asked:
Which expression gives the perimeter of the rectangle in terms of w?
Solution:
Width of rectangle = [tex]w[/tex]
As given that the length of a rectangle is 3/2 units greater than twice its width.
Length of rectangle = [tex]2w+\frac{3}{2}[/tex]
Now, as we know:
[tex]Perimeter\ of\ rectangle=2(length +breadth)[/tex]
[tex]=2(2w+\frac{3}{2} +w)\\\\ =2(3w+\frac{3}{2})\\ \\ =6w+\frac{6}{2} \\ \\ =6w+3[/tex]
Therefore, perimeter of the rectangle in terms of w is [tex]6w+3[/tex].
