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 YZAB is $19 per square metre and the cost of fencing the fountain area is $11 per metre. Given that DF is 247 m, YZ is
37 of EG and DC is 176 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
YZ : EG
3 : 7
7 u → 203 m
1 u → 203 ÷ 7 = 29 m
YZ = 3 u = 29 x 3 = 87 m
Area of the picnic area
= 87 x 87
= 7569 m
2 Cost of the picnic area
= 7569 x 19
= $143811
(b)
Perimeter of the fountain area
= 247 + 176 + 203
= 626 m
Cost of fencing the fountain area
= 626 x 11
= $6886
Answer(s): (a) $143811; (b) $6886