Question

Find side AB
14()
24()
33()
40()​

Answer 1

`AB=DC=32\ units`

`AD=BC=24\ units`

Explanation:

we know that

In a parallelogram, opposite sides are parallel and congruent

In this problem we have a parallelogram

so

`DC=AB`

`AD=BC`

substitute the given values

`5x-18=2x+12`

`5x-2x=12+18`

`3x=30`

`x=10`

Find the length of side AB

`AB=2x+12`

substitute the value of x

`AB=2(10)+12=32\ units`

Find the length of side CB

`BC=3x-6`

substitute the value of x

`BC=3(10)-6=24\ units`

therefore

`AB=DC=32\ units`

`AD=BC=24\ units`