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 $15 per square metre and the cost of fencing the fountain area is $14 per metre. Given that GJ is 253 m, BC is
511 of HK and GF is 143 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
BC : HK
5 : 11
11 u → 198 m
1 u → 198 ÷ 11 = 18 m
BC = 5 u = 18 x 5 = 90 m
Area of the picnic area
= 90 x 90
= 8100 m
2 Cost of the picnic area
= 8100 x 15
= $121500
(b)
Perimeter of the fountain area
= 253 + 143 + 198
= 594 m
Cost of fencing the fountain area
= 594 x 14
= $8316
Answer(s): (a) $121500; (b) $8316