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What is the perimeter of a rectangle when its sides are in the ratio of 2 to 3 and has a diagonal of 26 cm?
Wiki User
∙ 12y ago
Suppose the shorter side is 2x cm.
Then the longer side is 3x cm
By Pythagoras, (2x)2 + (3x)2 = 262
ie 4x2 + 9x2 = 262
so that 13x2 = 262
x2 =52
so that x = 2*sqrt(13)
Then perimeter = 10x = 20*sqrt(13)
Wiki User
∙ 12y ago
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