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 $24 per square metre and the cost of fencing the fountain area is $10 per metre. Given that PR is 236 m, JK is
513 of QS and PN is 124 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
JK : QS
5 : 13
13 u → 195 m
1 u → 195 ÷ 13 = 15 m
JK = 5 u = 15 x 5 = 75 m
Area of the picnic area
= 75 x 75
= 5625 m
2 Cost of the picnic area
= 5625 x 24
= $135000
(b)
Perimeter of the fountain area
= 236 + 124 + 195
= 555 m
Cost of fencing the fountain area
= 555 x 10
= $5550
Answer(s): (a) $135000; (b) $5550