00:01
In this problem, we have the current floor, which is this is 250 feet and this is 160 feet.
00:14
Now, we have the initial area ai as 250 into 160 and we want the final area to be 1 .5 times the current area.
00:30
So for part a, let us think that we have increased each dimension by the same amount, which is plus x feet and here also plus x feet.
00:45
So we have a final as 250 plus x times 160 plus x.
00:57
Next, note that this must be equals to 1 .5 times 250 into 160.
01:06
Next for part b, we want to find the dimensions of the new floor.
01:12
So for that first we will find x.
01:15
So we will solve this equation.
01:17
So we have 250 into 160 plus this is 410 x plus x square is equals to 1 .5 times 250 into 160.
01:38
Moving the terms around, we get x square plus 410 x minus 80 into 250 is equals to 0.
01:55
This is nothing but x square plus 410 x minus 25 into 8 is 200 and 0 0 equals to 0...