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Calculate the diagonal of rectangle area 120 meters squared side A is x plus 3 side B is x plus 10?
Wiki User
∙ 8y ago
Area = (x + 3)*(x + 10) = 120x^2 + 13x - 90 = 0
(x + 18)*(x - 5) = 0
Therefore x = -18 or x = 5.
x = -18 gives sides of negative length and so is not a possible solution.
Therefore x = 5 => A = 8 and B = 15
Then Diagonal = sqrt(8^2 + 15^2) = sqrt(64 + 225) = sqrt(289) = 17 metres.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoThe sides work out as 8m by 15m and using Pythagoras the diagonal is 17 meters
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