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 PQRS is $17 per square metre and the cost of fencing the fountain area is $14 per metre. Given that UW is 246 m, PQ is
38 of VX and UT is 166 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
PQ : VX
3 : 8
8 u → 192 m
1 u → 192 ÷ 8 = 24 m
PQ = 3 u = 24 x 3 = 72 m
Area of the picnic area
= 72 x 72
= 5184 m
2 Cost of the picnic area
= 5184 x 17
= $88128
(b)
Perimeter of the fountain area
= 246 + 166 + 192
= 604 m
Cost of fencing the fountain area
= 604 x 14
= $8456
Answer(s): (a) $88128; (b) $8456