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 JKLM is $30 per square metre and the cost of fencing the fountain area is $13 per metre. Given that PR is 256 m, JK is
37 of QS and PN is 159 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
JK : QS
3 : 7
7 u → 217 m
1 u → 217 ÷ 7 = 31 m
JK = 3 u = 31 x 3 = 93 m
Area of the picnic area
= 93 x 93
= 8649 m
2 Cost of the picnic area
= 8649 x 30
= $259470
(b)
Perimeter of the fountain area
= 256 + 159 + 217
= 632 m
Cost of fencing the fountain area
= 632 x 13
= $8216
Answer(s): (a) $259470; (b) $8216