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# ABCD is a parallelogram. If AB = 3x+4, and CD = 4x – 1, find the length of AB? 20 19 17 15

Mar 7, 2018

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#### Explanation:

In a parallelogram opposite sides are equal & parallel.

$\therefore 3 x + 4 = 4 x - 1$

By transposing method

$4 x - 3 x = 4 + 1$

color(magenta)(x=5

$\therefore$ Length of $A B = 3 x + 4$

$= 3 \times 5 + 4$

$= 15 + 4$

color(red)(=19

~Hope this helps! :)