Video Transcript
Given that the coordinates of
points 𝐶 and 𝐷 are seven, five and seven, four, respectively, find the perimeter
of the figure 𝐴𝐵𝐶𝐷.
So the first thing we’ve done is
marked our points 𝐶 and 𝐷 onto our diagram. And then what we can do is join our
points to create our figure 𝐴𝐵𝐶𝐷. Now, what we can do is check out
the axes. And in our axes, we can see that
every square is equal to one unit. So therefore, we can count from 𝐵
to 𝐶. This is three units. 𝐶 to 𝐷 is one unit. 𝐷 to 𝐴 is three units. And 𝐴 to 𝐵 is one unit. So therefore, as we’ve got two
pairs of equal parallel sides, we can see that this is in fact a rectangle.
So to find the perimeter, what we
want to do is find the distance around the outside. And the simplest way of doing that
is by adding three, one, three, and one. And this gives us a perimeter of
eight. So what we’ve done is we formed the
figure 𝐴𝐵𝐶𝐷 and found its perimeter.