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
Accepted Solution
A:
Solution:As per the problem we haveWXYZ 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 [tex] wx=yz\\ \\ \Rightarrow 6x+5=8x-3\\ \\ \text{Take the like terms together we get}\\ \\ \Rightarrow8x-6x=5+3\\ \\ \text{Simplify we get}\\ \\ \Rightarrow2x=8\\ \\ \Rightarrow x=4 [/tex]Hence we get x=4