Question

A rectangular field has an area of 162 m² the width of this field is 9m what is the perimeter of this field

Answer 1

54 m

Explanation:

Alrighty, what have we here: an area of 162 m² and a width of 9m.

So: A=162m², W=9m, let's draw this: (see the screenshot attached)

Using the formula for area (Area = width x length) we see that:

`162m^(2) =9m*L`

Thus: (equating to L by dividing both sides by 9m)

⇒
`(162m^(2) )/(9m)=18m=L`

Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:

`perimeter=2W+2L=2*9m+2*18m=18m+36m=54m`

And there we have our answer.