The length of a rectangle is 5/2 units greater than twice its width. if its width is w, which expression gives the perimeter of the rectangle in terms of w? 1. 2(5/2w) + w 2. 5/2w + w 3. 3w + 10/2 4. 6w + 5

Option 4 is correct

Step-by-step explanation:

Perimeter of a rectangle is given by:

           ....[1]

where w be the width of the rectangle and l be the length of the rectangle.

As per the statement:

length of a rectangle is 5/2 units greater than twice its width.

⇒ units

Substitute this in [1] we get;

Combine like terms;

Using distributive property:

Therefore, the perimeter of the rectangle in terms of w is units

what are you trying to solve here

step-by-step explanation: