Question

The length of a rectangle is 3/2 units greater than it's width. if the width is w, which expression gives the perimeter of the rectangle in terms of its width?
4w+3

7/2w-3

5w

6w+4

Answer 1

Answer: 4w+3

Step-by-step explanation:

Let 'w' denotes the width of the rectangle.

Given : The length of a rectangle is $\dfrac{3}{2}+w$ units.

Since , perimeter of rectangle = 2( length + width)

$\Rightarrow\text{Perimeter}=2(\dfrac{3}{2}+w+w)\\\\\Rightarrow\text{Perimeter}=2(\dfrac{3}{2}+2w)\\\\\Rightarrow\text{Perimeter}= 2(\dfrac{3}{2})+2(2w)\\\\\Rightarrow\text{Perimeter}=3+4w$

Hence, the expression that gives the perimeter of the rectangle in terms of its width  = 4w+3