00:01
In this question, we are told that the length of rectangle is 5 yards longer than twice the width, which means that if we multiply the width of the rectangle by 2, the length is still 5 yards longer.
00:19
So to get the length, we need to multiply the width by 2 and add 5 more yards.
00:28
And this is going to give us the length of the rectangle.
00:32
We also know that the area is 63 square yards.
00:37
On the other hand, the area over rectangle equals to the length times the its width.
00:44
And this gives us two equations for finding l and w.
00:49
L equals to 2w plus 5 and l times w equals to 63.
00:55
Now we are going to plug in the first equation into the second equation.
01:02
In the second equation we will replace l by 2w plus 5.
01:07
Multiply it by w and this must be equal to 63 and this gives us an equation for finding w.
01:14
We are going to get that 2 w squared plus 5w equals to 63.
01:27
Or we can rewrite this as 2 w squared plus 5w minus 63 equals to 0.
01:35
Well, this is a quadratic equation and we need to solve it, we need first to calculate its discriminant, which equals to 5 squared minus 4.
01:45
Times 2 times negative 63.
01:49
This equals to 25 plus 63 times 8 equals to 480 plus 24, which equals to 504, plus 25 equals to 529.
02:10
Well, i hope i'm right...