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 $22 per square metre and the cost of fencing the fountain area is $12 per metre. Given that HK is 239 m, CD is
113 of JL and HG is 135 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
CD : JL
1 : 13
13 u → 195 m
1 u → 195 ÷ 13 = 15 m
CD = 1 u = 15 x 1 = 15 m
Area of the picnic area
= 15 x 15
= 225 m
2 Cost of the picnic area
= 225 x 22
= $4950
(b)
Perimeter of the fountain area
= 239 + 135 + 195
= 569 m
Cost of fencing the fountain area
= 569 x 12
= $6828
Answer(s): (a) $4950; (b) $6828