00:01
We're told we have a pond shaped like a right triangle, and the area of the pond is 3 ,000 square feet.
00:11
The first thing we're asked to do was to define our variables, and we were told that the shorter leg was one -fourth as times as long as the longer leg.
00:24
So one of our variables will be x, and we'll let that represent the length of the longer leg, and then one -fourth.
00:32
Fourth x will represent the length of the shorter leg.
00:36
Since we're given that area of that pond, we know we're going to use the formula for area of a triangle to help us write our equation.
00:44
So i'm going to write a equals one -half face times hot.
00:50
And since we're told the area was 3 ,000 square feet, we'll put 3 ,000 in place of a equals one -half.
00:58
Now on this right triangle, it really doesn't matter which one of those we call the base.
01:02
Or the height, so i'm going to let x be my base, and then that means one -fourth x will be the height.
01:13
So we'll simplify, we get 3 ,000 equals.
01:17
Well, now, one -half times one -fourth is one -eighth, and x times x is x squared.
01:26
So this will be the equation...