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Home >All Categories > Science & Mathematics >Mathematics >Open Question zack b Member since:November 08, 2009Total points:102 (Level 1)So, I have the area of a square. It is 36. But I do not know how to convert that into a perimeter. And I need to know this! What do I do. I know that the equation is perimeter is 4 times the square root of the area. But I need to know why in order to pass the explanation requirement on the CIM test for school. So if anyone can eloborate or verify that formula! That would be AWESOME! Thanks :)Answer Question

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That will be a square, 5cm by 5cm!

:)>

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Hey please help me on these sums
Working out would be great! Thanks so much

1. Sinenta is making new curtains for her bedroom . The material is 2 metres wide
A) what area of material does she buy?
B) the material costs £5 per metre (square)
How much does her material cost

2. The area of a rectangle is 65cm (square).
The length is 13cm,
What is the length

3. The area of a wall is 48m (square)
The height of the wall is 1.5m.
What is the width?

Thanks so much!! Xxxx

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So an equilateral has 3 sides of length s. So P = s + s + s. or, P = 3s.
A regular has 6 sides of length t. so P = t + t + t + t + t + t. or, P = 6t.

We also know that they have equal perimeters... so 3s = 6t => s = 2t

Now, A = 10 = 1/2 bh. Or, 20 = bh. Well what's bh? b is obviously s. h is trickier.

consider the triangle with legs length h and s/2 and with hypotenuse length s.

by pythagorean theorem we have h = sqrt( s^2 - s^2 / 4 ) and so h = sqrt(3)*s / 2

so returning to our area...

20 = s * sqrt(3)/2 * s

40 / sqrt(3) = s^2

by substituting....

40 / sqrt(3) = 4t^2

and so t = sqrt( 10 / sqrt(3) ).

remember t is the length of each side of the regular hexagon.

I'm pretty sure you can find a formula for the area of a regular hexagon given that you have the side length.

Hope this helps!

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