# geometry

The diagonal of a rectangle is 25 meters long makes an angle of 36° with one side of the rectangle. Find the area and the perimeter of the parallelogram.

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1. tan 36° = 0.7265

x^2+y^2 = 25^2
y = 0.7265x
x^2 (1 + 0.7265^2) = 25^2
x = 20.2258

p = 2(x+y) = 2(20.2258 + 14.6949) = 69.8414

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