Question

Find side AB 14()24()33()40()​

Answer 1

Answer:

$AB=DC=32\ units$

$AD=BC=24\ units$

Step-by-step 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

$AB=DC=32\ units$

$AD=BC=24\ units$