Question

The width of a rectangle measures (3.1s – 1.6) centimeters, and its length

measures (7.2s – 4.6) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?

Answer 1

Expression for perimeter of rectangle is:

`\bold{Perimeter = (20.6s-12.4)\ centimeters}`

Explanation:

Width of rectangle is given as
`( 3.1 s - 1.6 )` centimeters and

length of the rectangle is given as
`(7.2s - 4.6)` centimeters.

To find:

The expression to represent the perimeter of rectangle in centimeters.

Solution:

First of all, let us have a look at the formula to calculate the perimeter of a rectangle.

Perimeter of a polygon is equal to sum of all the sides.

In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.

Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.

So, formula:

`Perimeter = 2(l+w)`

Where
`l` is the length of rectangle and

`w` is the width of rectangle.

Putting the values of length and width as given in the question statement to find its perimeter:

`Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}`