Let x = width of the window
Let 2x = height of window
Let 2x = height of one shutter
Let 2x - 24 =width of one shutter
The two shutters have the same area as the window.
Area of window = 2x * x = 2x^2
Area of 2 shutters = 2x * (2x - 24) = (4x^2 - 48x) * 2 = 8x^2 - 96x
2x^2 = 8x^2 - 96x
0 = 6x^2 - 96x
6x(x - 16) = 0
x = 16 cm
2 * 16 cm = 32 cm
Muhammad C.
tutor
Yes
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05/21/14
Manny P.
Thank you! And what exactly does this symbol mean " ^ "
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05/21/14
Peter H.
Manny,
The "^" symbol means exponentiation. Let me give some examples:
1) 3^2 means 3 * itself one time, so 3 * 3 = 9
2) 3^4 means 3 * itself four times, so 3 * 3 * 3 * 3 = 81
3) 2x^2 means 2 * (x times itself one time) -- the exponentiation operator takes precedence over the multiply operator, so we do the exponentiation first (x times itself) then we do the multiply by 2.
The exponentiation symbol is often used in cases where it can be hard to write the expression. Some of the programs you use make it hard to write something like x2, so an easy way to write it with the normal keyboard is x^2
I hope this explains it for you.
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05/21/14
Manny P.
05/21/14