Q: What does 4 S R of S mean?

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s+s+s+s*3/2 * * * * * No, that is not true. A rhombus is like a skewed square: it has four sides which are of equal length r. The perimeter is, therefore, r+r+r+r = 4*r

r + s = 4 and 2r + 3s = 8 multiply the first equation by 2 giving 2r + 2s = 8 subtract this from the second equation giving s = 0 So r = 4 and s = 0.

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s - r = 18, so s = 18 + r: t - r = 4(t - s) is t - r = 4(t - 18 + r) ie t - r = 4t - 72 + 4r 3t = 72 - 5r Possible answers: t = 19, r = 3, rt = 16, st = 4; r/s/t = 0, 12, 16 x 1.5 gives 0, 18, 24 t = 14, r = 6, rt = 8, st = 2; r/s/t = 0, 6, 8 x 3 also gives 0, 18, 24 t = 9, r = 9 t = 4, r = 12 The last two are not in fact possible as t must exceed r. The distances starting from r at 0, are rs = 18, st = 6 and rt = 24 The above is unnecessarily complicated! If s is between r and t and rt is 4 times st then rs must be 3 times st. rs is 18 so st is 6 and rt 24. Simple!

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s+s+s+s*3/2 * * * * * No, that is not true. A rhombus is like a skewed square: it has four sides which are of equal length r. The perimeter is, therefore, r+r+r+r = 4*r

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r + s = 4 and 2r + 3s = 8 multiply the first equation by 2 giving 2r + 2s = 8 subtract this from the second equation giving s = 0 So r = 4 and s = 0.

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