Calculate the Side!

Geometry Level 2

If the points $(k,k-1),(k+2,k+1)\ and \ (k,k+3)$ are the consecutive vertices of a square, Calculate it's area.

The answer is 8.

1 solution

Maggie Miller
Aug 3, 2015

The area is given by the square of the side length, i.e.

$((k+2)-(k))^2+((k+1)-(k-1))^2=2^2+2^2=\boxed{8}$ .

Thanks for the solution!

Though you should mention what you mean b the second line, i.e. explaining the Distance formula a bit :)

Mehul Arora - 5 years, 10 months ago

That's the best way to solve this problem. but you can calculate the length of the three sides of AB,AC and BC and you can calculate the area by the Heron's formula and after that (because it's square) the square's area is twice of that triangle.

Reza Nik - 5 years, 10 months ago

@Reza Nik Err, don't you think that would be TOO long? That's simply a waste of your time! This is the most appropriate way to do this.

Mehul Arora - 5 years, 10 months ago

First, hello my friend. and second, yes you are right. but you are saying that when you see the main solution. first i saw this problem i solved that with above description and when i saw the other solution i wondered that why i went this way? For solving MATH problem don't go from the easier way all the time my friend. may be the longer way learn you something more.

Reza Nik - 5 years, 10 months ago

@Reza Nik – Yeah. I agree.

Actually, I solved the problem the same way as @Maggie Miller did :)

Mehul Arora - 5 years, 10 months ago

Calculate the Side!

The answer is 8.

1 solution

0 pending reports