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Interesting one! If a rectangle has width w and height h, 1) the area a = wh 2) the perimeter p = 2w + 2h From 1), w=a/h Substituting into 2) p = 2a/h + 2h Multiplying by h pH = 2a + 2h2 Rearranging 2h2 - pH + 2a = 0 This is a quadratic equation in h. Factorising, using the standard quadratic formula, h = (p ± sqrt(p2 - 16a))/4 The two solutions to this will be the two dimensions.
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Let P be perimeter, A is area, L is length, and W is width.A = L x W, P = 2L + 2W; you know P and W, so L = (P - 2W)/2and A = W x (P - 2W)/2
P. W. H. Brown was born in 1941.
P H W. Wolff has written: 'Selection of materials and design'
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W. H. P. Jarvis has written: 'The letters of a remittance man to his mother' -- subject(s): Description and travel, Social life and customs
We know:2(w+h)=pw*h=aTherefore:w=a/h2(a/h + h)=p2(a + h^2)=p*h2*h^2 - p*h + 2a = 0which can be solved for h using the quadratic formula (see http://en.wikipedia.org/wiki/Quadratic_equation):(-b +/- sqrt(b^2 - 4ac)) / 2aTherefore:h=(p +/- sqrt(p^2 - 16a)) / 2aOnce we have h, we can get w easily by calculating a/h. Note that there may be two possible values for h (because of the +/- in the quadratic formula), so there may be two values of w to correspond with each of these.
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According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern P-H-W. That is, five letter words with 1st letter P and 3rd letter H and 5th letter W. In alphabetical order, they are: pshaw
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern W---H-P. That is, seven letter words with 1st letter W and 5th letter H and 7th letter P. In alphabetical order, they are: warship worship
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern W--H-P-. That is, seven letter words with 1st letter W and 4th letter H and 6th letter P. In alphabetical order, they are: wanhope washups
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern P--H--W-. That is, eight letter words with 1st letter P and 4th letter H and 7th letter W. In alphabetical order, they are: pushdown