The architect of Mr. Eleazar designed the shape of the roof of his house as parallelogram. If the opposite sides of the roof measure x^2 m and (x+6) m l. What is the measure of the opposite sides? With Solution
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opposite side of a parallelogram is equal
side_1 = x² m
side_2 = x + 6 m
side_1 = side_2
x² = x + 6
x² - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3 and -2
therefore: x = 3
side_1 = 3² = 9m
side_2 = 3 + 6 = 9m
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