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 BCDE is $28 per square metre and the cost of fencing the fountain area is $11 per metre. Given that GJ is 234 m, BC is
313 of HK and GF is 127 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
BC : HK
3 : 13
13 u → 195 m
1 u → 195 ÷ 13 = 15 m
BC = 3 u = 15 x 3 = 45 m
Area of the picnic area
= 45 x 45
= 2025 m
2 Cost of the picnic area
= 2025 x 28
= $56700
(b)
Perimeter of the fountain area
= 234 + 127 + 195
= 556 m
Cost of fencing the fountain area
= 556 x 11
= $6116
Answer(s): (a) $56700; (b) $6116