Parallelogram Area Comparison: Two Shapes with Height 4cm and Base 6cm

Question

Look at the two parallelograms ABCD and BCEF below.

AB is parallel to CD

CE is parallel to BF

BG is a height equal to 4 cm

$BC=6$

Are their areas equal?

00:00 Are the areas equal?

00:03 Let's use the formula for calculating the area of a parallelogram (base times height)

00:12 Opposite sides are equal in a parallelogram

00:16 Let's substitute appropriate values according to the given data and solve to find the area

00:19 This is area ABCD, now let's find area BCEF

00:23 Let's use the formula for calculating the area of a parallelogram (base times height)

00:28 Opposite sides are equal in a parallelogram

00:33 Let's substitute appropriate values according to the given data and solve to find the area

00:37 And this is the solution to the question

The areas are equal.