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 CDEF is $25 per square metre and the cost of fencing the fountain area is $14 per metre. Given that HK is 238 m, CD is
58 of JL and HG is 138 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
CD : JL
5 : 8
8 u → 192 m
1 u → 192 ÷ 8 = 24 m
CD = 5 u = 24 x 5 = 120 m
Area of the picnic area
= 120 x 120
= 14400 m
2 Cost of the picnic area
= 14400 x 25
= $360000
(b)
Perimeter of the fountain area
= 238 + 138 + 192
= 568 m
Cost of fencing the fountain area
= 568 x 14
= $7952
Answer(s): (a) $360000; (b) $7952