Question

AB = x + 20 DC = 5x AD = x − 2 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram by finding the lengths of the opposite side pairs. What is the length of BC?

Answer 1

Answer:

$BC=3\ units$

Step-by-step explanation:

we know that

In a parallelogram opposites sides are parallel and congruent

so

AB=DC

BC=AD

step 1

Find the value of x

we have

$AB=DC$

substitute the given values

$x+20=5x$

solve for x

$5x-x=20$

$4x=20$

$x=5$

so

$AB=x+20=5+20=25\ units$

$DC=5x=5(5)=25\ units$

step 2

Find the value of AD

$AD=x-2=5-2=3\ units$

Remember that

BC=AD

therefore

$BC=3\ units$