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 $20 per square metre and the cost of fencing the fountain area is $11 per metre. Given that UW is 254 m, PQ is
38 of VX and UT is 180 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
PQ : VX
3 : 8
8 u → 200 m
1 u → 200 ÷ 8 = 25 m
PQ = 3 u = 25 x 3 = 75 m
Area of the picnic area
= 75 x 75
= 5625 m
2 Cost of the picnic area
= 5625 x 20
= $112500
(b)
Perimeter of the fountain area
= 254 + 180 + 200
= 634 m
Cost of fencing the fountain area
= 634 x 11
= $6974
Answer(s): (a) $112500; (b) $6974