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23-08-2018
Mathematics

contestada

Find the length of the side of the square if the number of square meters in its area is 1.5 times the number of meters in its perimeter

Respuesta :

29-08-2018

a - a length of side of square

The area: A = a²

The perimeter: P = 4a

The equation:

[tex] a^2=1.5\cdot4a\\\\a^2=6a\ \ \ \ |-6a\\\\a^2-6a=0\\\\a(a-6)=0\iff a=0\ \vee\ a-6=0\\\\\boxed{a=6} [/tex]

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