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 $26 per square metre and the cost of fencing the fountain area is $10 per metre. Given that GJ is 241 m, BC is
37 of HK and GF is 169 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
BC : HK
3 : 7
7 u → 196 m
1 u → 196 ÷ 7 = 28 m
BC = 3 u = 28 x 3 = 84 m
Area of the picnic area
= 84 x 84
= 7056 m
2 Cost of the picnic area
= 7056 x 26
= $183456
(b)
Perimeter of the fountain area
= 241 + 169 + 196
= 606 m
Cost of fencing the fountain area
= 606 x 10
= $6060
Answer(s): (a) $183456; (b) $6060