Question

ABCD is a parallelogram if side ab=4x+7 and bc=8x-12 and side cd=7x-14 find the value of x

Answer 1

Therefore the value of 'x' is 7.

Explanation:

Given:

[] ABCD is a Parallelogram

AB = 4x+ 7

BC = 8x - 12

CD = 7x - 14

To Find:

x = ?

Solution:

[] ABCD is a Parallelogram ..............Given:

Opposite sides of a Parallelogram are Equal

side AB and CD are the opposite sides of the parallelogram.

∴ AB = CD

On substituting the values we get

`4x+7=7x-14\\\\7x-4x=7+14\\\\3x=21\\\\x=(21)/(3) =7\\\\\therefore x =7`

Therefore the value of 'x' is 7.