Question

The length of a rectangle is 3/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?

Answer 1

Answer:

$6w+3$

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 = $w$

As given that the length of a rectangle is 3/2 units greater than twice its width.

Length of rectangle = $2w+\frac{3}{2}$

Now, as we know:

$Perimeter\ of\ rectangle=2(length +breadth)$

                                      $=2(2w+\frac{3}{2} +w)\\\\ =2(3w+\frac{3}{2})\\ \\ =6w+\frac{6}{2} \\ \\ =6w+3$

Therefore, perimeter of the rectangle in terms of w is $6w+3$.