Aswimming pool was 4 meters wide with surface area of 16 square meters.what is the length of the pool?

Because we're treating the swimming pool as a standard rectangle, rather than a three dimensional shape, we can use the formula L * W = A to calculate the length of the pool.

Length * Width = Area

We've established two key bits of information, and with them we can solve for the final piece.

Length * 4 = 16

4l = 16

Divide both sides by 4.

l = 4

Given:

The endpoints of the latus rectum at (-2, 3) and (-2, 15).

The directrix at x = 4.

To find:

The equation of the parabola.

Solution:

The equation of the parabola is:

                  ...(1)

Where, is directrix and are the end point of the latus rectum.

The directrix at x = 4. So,

              ...(i)

The endpoints of the latus rectum at (-2, 3) and (-2, 15). So,

Now,

             ...(ii)

             ...(iii)

          ...(iv)

Adding (i) and (ii), we get

Putting in (i), we get

Putting in (iii), we get

Putting in (1), we get

Therefore, the required equation of the parabola is .