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 $17 per square metre and the cost of fencing the fountain area is $12 per metre. Given that DF is 272 m, YZ is
513 of EG and DC is 173 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
YZ : EG
5 : 13
13 u → 221 m
1 u → 221 ÷ 13 = 17 m
YZ = 5 u = 17 x 5 = 85 m
Area of the picnic area
= 85 x 85
= 7225 m
2 Cost of the picnic area
= 7225 x 17
= $122825
(b)
Perimeter of the fountain area
= 272 + 173 + 221
= 666 m
Cost of fencing the fountain area
= 666 x 12
= $7992
Answer(s): (a) $122825; (b) $7992