The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of square FGHJ is $28 per square metre and the cost of fencing the fountain area is $13 per metre. Given that LN is 258 m, FG is
311 of MP and LK is 159 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
FG : MP
3 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
FG = 3 u = 19 x 3 = 57 m
Area of the picnic area
= 57 x 57
= 3249 m
2 Cost of the picnic area
= 3249 x 28
= $90972
(b)
Perimeter of the fountain area
= 258 + 159 + 209
= 626 m
Cost of fencing the fountain area
= 626 x 13
= $8138
Answer(s): (a) $90972; (b) $8138