Question

The length of a triangle is 3/2 units grater than its width. if the width is w whitch expression gives the perimiter of the rectangle in terms of its width

Answer 1

Given the width of a rectangle = w

And the length given is
`(3)/(2)` units greater than its width.

So the length of the triangle =
`(w+(3)/(2))`

We know that the perimeter of the rectangle is
`2(length +width)`

So by plugging in the values of length and width in terms of w, we will get,

Perimeter =
`2((w+(3)/(2))+w)`

=
`2(w+(3)/(2)+w)`

We will add the like terms now.

`2(2w+(3)/(2) )`

Now we have to expand this expression by distributing 2, We will get,

`4w+((3)/(2) )(2)`

`4w+((3)(2))/(2)`

`4w+(6)/(2)`

`4w+3`

So we have got the required perimeter of the rectangle in terms of w.

The perimeter is (4w+3) units.