00:01
In this problem, we have a trapezoid with the mid -segment.
00:06
So we have point c, f, d, a, e, b.
00:10
We know that b -e is equal to e -a is equal to f -d is equal to c -f, and these sides are parallel.
00:16
We also know that f -e is 8 .62 inches, and that the perimeter of this trapezoid is going to be 27 .4.
00:27
So we also know that b -c is equal to two times ab.
00:35
Okay, so b -a, we know, or is ab, and then c -d also has to equal to a -b because of these segments here.
00:43
Two of these segments equals two of these segments, so this also equals a -b.
00:47
And we're given by the problem that c -b is equal to two of these a -bs.
00:53
Now, i can put ad in terms of a -b.
00:56
So i know that if i add ad plus b -c, which is two a -bs, divided by two, that will give me this mid -segment length of 8 .62.
01:06
So to get rid of this mid -segment, i mean, to get rid of this two, i would multiply two on both sides.
01:13
These would cancel, leaving me with ad plus 2ab equals 17 .24.
01:25
Now i can subtract 2 ab on both sides.
01:29
So ad is going to equal to 17 .24 minus 2 ab...