An aerial diagram of a swimming pool is shown.
The swimming pool is a standard length of 50 metres but is not in the shape of a rectangle.
In the diagram of the swimming pool, the five widths are measured to be:
`CD = 21.88\ text(m)`
`EF = 25.63\ text(m)`
`GH = 31.88\ text(m)`
`IJ = 36.25\ text(m)`
`KL = 21.88\ text(m)`
- Use four applications of the Trapezoidal Rule to calculate the surface area of the pool. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- The average depth of the pool is 1.2 m
Calculate the approximate volume of the swimming pool, in litres. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
a. `\text{Strategy 1}`
`text(Surface Area of pool)`
`~~ 12.5/2(21.88 + 25.63) + 12.5/2(25.63+31.88)+12.5/2(31.88+36.25) …`
`+ 12.5/2(36.25 + 21.88)`
`~~ 1445.5\ text(m)^2`
`\text{Strategy 2}`
`text(Surface Area of pool)`
`~~ 12.5/2[21.88 + 2(25.63 + 31.88 + 36.25) + 21.88]`
`~~ 1445.5\ text(m)^2`
| b. | `V` | `= Ah` |
| `~~ 1445.5 xx 1.2` | ||
| `~~ 1734.6\ text(m)^3` | ||
| `~~ 1\ 734\ 600\ text(L)` |
