Answer:
The width of the rectangle = 9.1 cm
Step-by-step 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:
[tex]49.6 = 2l + 2w[/tex]
We also know that l = 2w - 2.5
Substituting this we get:
[tex]2(2w-2.5)-5=49.6\\6w-5=49.6\\6w=49.6+5\\6w=49.6\\w=9.1\\[/tex]
