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 $25 per square metre and the cost of fencing the fountain area is $11 per metre. Given that DF is 249 m, YZ is
313 of EG and DC is 164 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
YZ : EG
3 : 13
13 u → 195 m
1 u → 195 ÷ 13 = 15 m
YZ = 3 u = 15 x 3 = 45 m
Area of the picnic area
= 45 x 45
= 2025 m
2 Cost of the picnic area
= 2025 x 25
= $50625
(b)
Perimeter of the fountain area
= 249 + 164 + 195
= 608 m
Cost of fencing the fountain area
= 608 x 11
= $6688
Answer(s): (a) $50625; (b) $6688