Question

The length of a rectangular label is 2.5 cm less than twice the width. The perimeter is 49.6 cm. Find the width.

Answer 1

The width of the rectangle = 9.1 cm

Explanation:

So we have the perimeter = 49.6 cm

Let the length be l, and let the width be w.

Using the information in the question we can write an equation:

l = 2w - 2.5

We also have the equation of the perimeter(p) of a rectangle:

P = 2l + 2w

or

P = 2(l+w)

So now we have two equations, let's solve for width:

We know that the perimeter is 49.6 so the width is:

`49.6 = 2l + 2w`

We also know that l = 2w - 2.5

Substituting this we get:

`2(2w-2.5)-5=49.6\\6w-5=49.6\\6w=49.6+5\\6w=49.6\\w=9.1\\`