Question

A rectangle has a width of 50 centimeters and a perimeter of 204 centimeters. what is the​ rectangle's length?

Answer 1

The perimeter of a rectangle is
`p=2(l+w)`, where
`l` is the length and
`w` width of the perimeter. Here
`p=204,w=50`.

Hence,

`image`

The rectangle's length is
`52\;cm`

Answer 2

Let's assume the length of the rectangle be l and width is w.

Given that, the rectangle has a width of 50 centimeters .

So, w = 50.

And Perimeter = 204.

Since, the formula for perimeter of a rectangle is 2l + 2w. So, we can set up an equation as following:

2l +2w = 204

2l + 2(50) = 204 Since, w = 50 is given.

2l + 100 = 204

2l + 100 - 100 = 204 - 100 Subtract 100 from each sides.

2l = 104

`(2l)/(2) =(104)/(2)` Divide each sides by 2 to isolate l.

So, l = 52

Therefore, length of rectangle is 52 centimeters.