Question

I need an answer ASAP! What is the length AB if the quadrilateral is an isosceles trapezoid?

Answer 1

Answer: The length of AB is 2 units.

Step-by-step explanation: We are given that the trapezoid ABCD is an isosceles one, where

AB = 2x, BC = 2x + 2 and AD = 4 units.

We are to find the length of side AB of the trapezoid.

We know that

in an isosceles trapezoid, the lengths of two non parallel sides are equal.

So, in ABCD, we have

`AD=BC\\\\\Rightarrow 4=2x+2\\\\\Rightarrow 2x=2\\\\\Rightarrow x=1.`

Therefore, the length of AB will be

`AB=2x=2*1=2~\textup{units}.`

Thus, the length of AB is 2 units.