00:01
So suppose i have a rectangle, right? lectangle has opposite sides that are equal and widths are equal.
00:08
And i know that the perimeter, the distance around the entire outside.
00:13
So perimeter is lane plus the width, plus the lane plus the width, right? i know that my perimeter is 33 .6 meters.
00:23
My lengths, i have two lanes and two widths that i'm adding together, combining my terms.
00:28
Okay.
00:29
What is, and i know the diagonal.
00:31
If i connect opposite vertices is going to be approximately 12 meters.
00:40
Okay, so i'm trying to find the length and the width in order to find.
00:43
Just trying to find the length in the width.
00:46
Okay, so what do i notice here? well, first thing i noticed twice the length was twice the width is 33 .6.
00:53
And all of these are divisible by two, so we divide each of them by two.
00:57
So 33 .6, divided by two is 16 .8 equals my length.
01:03
Length plus just my width.
01:05
Okay, so my length plus my width is 16 .8.
01:09
The diagonal is 12.
01:12
Right.
01:12
How am i going to get 12 here? well, let's say the length, i can solve for the length here.
01:19
The length is 16 .8 minus w.
01:24
And i see that i have a right triangle here.
01:29
In a right triangle, i could soft the sides by doing one leg squared, the width squared plus my other leg squared, equals my hypotenuse, which is 12 squared.
01:40
So factoring this all out, this will be w squared.
01:43
This is going to be 16 .8 w times itself...