Question

The perimeter of a rectangle is 48 centimeters. the relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 • length + 2 • width = 48. Find the length, in centimeters, if the widt

Answer 1

1. 14 cm

2. 20.4 cm

3. 24 - w

Explanation:

Let's start with the last question, as it'll make answering the previous two a lot easier. In the 3rd question, we are asked to create a formula to find the length of a given rectangle, using its given perimeter of 48 centimeters and width of
`w` centimeters.

Therefore, let the length of the rectangle be
`l`, we can construct the following equation:

`2l + 2w = 48\\\to2l = 48 - 2w\\\to l = \frac{48 - 2w}2\\\to l = 24 - w`

Now we have a formula that defines our length, if given the width of the rectangle. The only thing from here on out is to substitute the given widths to the formula we just found.

1.
`w = 10` , therefore,
`l = 24 - 10 = 14`.

2.
`w = 3.6` , therefore,
`l = 24 - 3.6 = 20.4`.