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 ZABC is $30 per square metre and the cost of fencing the fountain area is $12 per metre. Given that EG is 240 m, ZA is
111 of FH and ED is 122 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
ZA : FH
1 : 11
11 u → 198 m
1 u → 198 ÷ 11 = 18 m
ZA = 1 u = 18 x 1 = 18 m
Area of the picnic area
= 18 x 18
= 324 m
2 Cost of the picnic area
= 324 x 30
= $9720
(b)
Perimeter of the fountain area
= 240 + 122 + 198
= 560 m
Cost of fencing the fountain area
= 560 x 12
= $6720
Answer(s): (a) $9720; (b) $6720