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The area of a rectangle field is 42000 square meters Julie finds that by taking a diagonal path instead of walking around the field she walks 120 meters less How long is the diagonal?
Wiki User
∙ 15y ago
a * b = 42,000 (a+b) - sqrt(a^2 + b^2) = 120 ((a+b)-120)^2 = a^2 + b^2 = (a+b)^2 - 240 * (a+b) + 120^2 implies 0 = 2*a*b - 240 * (a+b) + 14400 = 2*42,000 + 14,400 - 240 * (a+b) implies (a+b) = (84,000 - 14,400)/240 = 69,600/240 = 290 which is the distance around the outside, the diagonal is 120m less ie 170m
Wiki User
∙ 15y ago
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If the diameter of a rectangular yard is 25 meters and you can save 20 meters by walking across the garden rather than by walking around the two adjacent sides What are the dimensions of the garden?
A rectangle with a diameter??? This must be a trick question. Perhaps some clarification of terminology is needed. If we assume the question writer meant "diagonal," not "diameter," then we still have a problem, because there is no real solution. The equations would set up thus: L2 + W2 = 252 L + W = 45 (because walking along the adjacent sides is 20 meters longer than the length of the diagonal). Substituting, we get W2 - 45W + 700 = 0, which has no real solution.
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If the diameter of a rectangular yard is 25 meters and you can save 20 meters by walking across the garden rather than by walking around the two adjacent sides What are the dimensions of the garden?
A rectangle with a diameter??? This must be a trick question. Perhaps some clarification of terminology is needed. If we assume the question writer meant "diagonal," not "diameter," then we still have a problem, because there is no real solution. The equations would set up thus: L2 + W2 = 252 L + W = 45 (because walking along the adjacent sides is 20 meters longer than the length of the diagonal). Substituting, we get W2 - 45W + 700 = 0, which has no real solution.
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