Answer:
The answers are:
width=16.5 cm
length=11 cm
Step-by-step explanation:
In order to determine the answer, we have to know about ratio. A ratio is a fraction that express a number relation of one variable and other. It is important to respect the order of how we assign the variables.
For example, if Bill and Jonas have candies in the ratio 4:2:
B=Bill's candies
J=Jonas's candies
[tex]\frac{B}{J}=\frac{4}{2} \\2B=4J[/tex]
Also, we have to know about perimeter of a rectangle. The perimeter is just the addition of its sides.
w=width of the rectangle
l=length of the rectangle
p=perimeter of the rectangle
[tex]p=2w+2l[/tex]
In this case:
[tex]\frac{w}{l}=\frac{3}{2}\\ 2w=3l[/tex]
[tex]p=55\\p=2w+2l\\55=3l+2l\\55=5l\\l=\frac{55}{5}\\l=11[/tex]
[tex]2w=3l\\2w=3*11\\2w=33\\w=\frac{33}{2}\\w=16.5[/tex]
Finally, the sides of the rectangle are:
width=16.5 cm
length=11 cm
