champklp champklp

07-07-2021
Mathematics

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2(2x + 4) + 2(x - 7) = 78. Determine the side lengths of this rectangle.

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umairkazi924 umairkazi924

07-07-2021

[tex]2(2x + 4) + 2(x - 7) = 78[/tex]

[tex]4x + 8 + 2x - 14 = 78[/tex]

[tex](4x + 2x) + (8 - 14) = 78[/tex]

[tex]6x - 6 = 78[/tex]

[tex]6x = 78 + 6[/tex]

[tex]6x = 84[/tex]

[tex]x = \frac{84}{6} [/tex]

[tex]x = 14[/tex]

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