Response:
Detailed explanation:
The length of the pool is longer than its width by 8 meters.
If we designate L as length and W as width, we can express this as:
L = 8 + W
We also know that the area amounts to 105 m squared.
Note:
Area of a Rectangle = Length x Width
Thus, 105 = (8 + W) x W

To adjust the equation, subtract 105 from both sides:

The smallest number of trips he must make is 5. Since he can carry only 3 bottles per trip, 5 trips would allow him to transport 15 bottles.
Though it might seem like 4 trips could suffice, as 4 times 3 is 12, that's one bottle short of 13.
Hence, an additional trip is needed to carry the last bottle, totaling 5 trips.
Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.