Wxyz is an isosceles trapezoid with legs wx and yz and a base xy. if the length of wx is 6x+5, the length of xy is 10x+4 and the length of yz is 8x-3, find the value of x

Solution:

As per the problem we have

WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY.

The length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3.

The diagram representing the above given data has been attached.

Since WXYZ is an isosceles trapezoid with legs WX and YZ.

So we can write

Hence we get x=4