figuring out height/width from area

hello everyone

i have a rectangle that is 14*18

which is 252 sq. in.

i need to get the H&W of a rectangle that its area is some percent of 252 (lets say half)

so what will the H&W be for 126 sq.in. if it would have the same ratio as 14*18?

thank you very much

i need the formula, not the answer for this specific example

Re: figuring out height/width from area

Re: figuring out height/width from area

thanks

it was that sqr root that i needed!

where do i "mark as answer"?

thanks again

Re: figuring out height/width from area

So really, you need a formula for side lengths of a given ratio; also given is area.

a = area (126 in your example), ratio = u/v (14/16 = 7/9 in your example).

x,y = side lengths

General case formula: x = SQRT(au / v) ; y = a / x

With your example:

x = SQRT(126*7/9) = 7SQRT(2)

y = 126 / 7SQRT(2) = 9SQRT(2)

Re: figuring out height/width from area

thanks

ur formula is better, as i needed it for a program script, which doesnt realy accept latex... :-)

thnak you

Re: figuring out height/width from area

Quote:

Originally Posted by

**yisman** ur formula is better, ......

For your benefit: use "your", NOT "ur".