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 UVWX is $25 per square metre and the cost of fencing the fountain area is $14 per metre. Given that ZB is 256 m, UV is
37 of AC and ZY is 127 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
UV : AC
3 : 7
7 u → 203 m
1 u → 203 ÷ 7 = 29 m
UV = 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 25
= $189225
(b)
Perimeter of the fountain area
= 256 + 127 + 203
= 586 m
Cost of fencing the fountain area
= 586 x 14
= $8204
Answer(s): (a) $189225; (b) $8204