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 GHJK is $26 per square metre and the cost of fencing the fountain area is $14 per metre. Given that MP is 257 m, GH is
311 of NQ and ML is 135 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
GH : NQ
3 : 11
11 u → 220 m
1 u → 220 ÷ 11 = 20 m
GH = 3 u = 20 x 3 = 60 m
Area of the picnic area
= 60 x 60
= 3600 m
2 Cost of the picnic area
= 3600 x 26
= $93600
(b)
Perimeter of the fountain area
= 257 + 135 + 220
= 612 m
Cost of fencing the fountain area
= 612 x 14
= $8568
Answer(s): (a) $93600; (b) $8568