Geometry – Area Chasing 1
Given rectangle
with dimensions
. Four lines
and
are drawn from each vertex to each opposite side. What is the area of the parallelogram at the center?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Consider the diagram. The area of the biggest parallelogram is
6
(
8
)
=
4
8
. The area of one small triangle is
3
0
4
8
=
1
.
6
. Therefore the area of the parallelogram at the center is
4
(
1
.
6
)
=
6
.
4
.