Question

The sides of a rectangle are in the ratio 3:2. What is the length of each side if the perimeter of the rectangle is 55 cm

Answer 1

Hi, the answer should be correct. Hope this helps :)

Answer 2

The answers are:

width=16.5 cm

length=11 cm

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

`(B)/(J)=(4)/(2)  \\2B=4J`

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

`p=2w+2l`

In this case:

`(w)/(l)=(3)/(2)\\ 2w=3l`

`p=55\\p=2w+2l\\55=3l+2l\\55=5l\\l=(55)/(5)\\l=11`

`2w=3l\\2w=3*11\\2w=33\\w=(33)/(2)\\w=16.5`

Finally, the sides of the rectangle are:

width=16.5 cm

length=11 cm