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 $19 per square metre and the cost of fencing the fountain area is $12 per metre. Given that UW is 244 m, PQ is
311 of VX and UT is 142 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
PQ : VX
3 : 11
11 u → 198 m
1 u → 198 ÷ 11 = 18 m
PQ = 3 u = 18 x 3 = 54 m
Area of the picnic area
= 54 x 54
= 2916 m
2 Cost of the picnic area
= 2916 x 19
= $55404
(b)
Perimeter of the fountain area
= 244 + 142 + 198
= 584 m
Cost of fencing the fountain area
= 584 x 12
= $7008
Answer(s): (a) $55404; (b) $7008