# word problem question

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its kinda level 5 work

13 May 2012

First, you need to make the problem into an algebraic formula. So, you have your rectangle and you know that the long sides are twice as long as the short sides. So, the rectangle is made up of 2 sides which you can label x (the short sides) and 2 sides you can label as 2x (the long sides, because they are twice the length of the short sides).

13 May 2012

If you add up all the x's you get x + x + 2x + 2x = 6x

13 May 2012

So, now you have: x + x + 2x + 2x

13 May 2012

Then, you need to work out x by dividing both sides by 6. If you do that you get to x = 4

13 May 2012

You know the perimeter is 24 so you can put that into the equation too: 6x = 24

13 May 2012

So, now, by plugging in the x values you can work out the length of each side. So, the short sides are 4 and the long sides are 8.

13 May 2012

Now, to work out ac (the diagonal) you need to use pythagoras (a^2 + b^2 = c^2). So, you need to do 4^2 + 8^2 = ?

13 May 2012

Therefore... 16+64 = 80

13 May 2012

So... 4^2 = 16 and 8^2 = 64

13 May 2012

And if you do that, the answer you should get is 8.94 :)

13 May 2012

Then you need to work out the square route of 80 (c^2) to get the length of ac

13 May 2012

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