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 $21 per square metre and the cost of fencing the fountain area is $11 per metre. Given that HK is 260 m, CD is
113 of JL and HG is 132 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
CD : JL
1 : 13
13 u → 221 m
1 u → 221 ÷ 13 = 17 m
CD = 1 u = 17 x 1 = 17 m
Area of the picnic area
= 17 x 17
= 289 m
2 Cost of the picnic area
= 289 x 21
= $6069
(b)
Perimeter of the fountain area
= 260 + 132 + 221
= 613 m
Cost of fencing the fountain area
= 613 x 11
= $6743
Answer(s): (a) $6069; (b) $6743