Question

If the perimeter of a square is one hundred miles, what is its area?

Answer 1

please dont give straight answer ppl

Answer 2

i got this

Answer 3

We know that squares have equal sides. So hopefully we can find the individual side lengths from my diagram.

Answer 4

Oh sorry mate

Answer 5

hea u can do this its fine

Answer 6

Cheers bud, we also know that the area of a square.Does that make sense?

Answer 7

srry I don't get it

Answer 8

Ok, looking at the first diagram I drew, what would you say the value of x is.

Answer 9

Given that we know that the perimeter is 100, and there are 4 equal sides.

Answer 10

yeah

Answer 11

So what is x, from my diagram?

Answer 12

4

Answer 13

no, you have 100 as a perimeter. So when we add up the lengths of all the sides they must add up to 100.

In the case of a square all the sides are equal. And we know that \(x+x+x+x=100\). What is x?

Answer 14

srry but I don't know

Answer 15

No problem. Note that \[x+x+x+x = 4x\]Making our equation\[4x = 100\]Can you solve that one?

Answer 16

25

Answer 17

Great! So now that we have each side is 25. and the area of a square is two of it's sides multiplied together, that will give us our answer!

\[Area = x^2\]
In this case \(x=25\) Hope that helps!