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 VWXY is $20 per square metre and the cost of fencing the fountain area is $14 per metre. Given that AC is 254 m, VW is
58 of BD and AZ is 166 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
VW : BD
5 : 8
8 u → 216 m
1 u → 216 ÷ 8 = 27 m
VW = 5 u = 27 x 5 = 135 m
Area of the picnic area
= 135 x 135
= 18225 m
2 Cost of the picnic area
= 18225 x 20
= $364500
(b)
Perimeter of the fountain area
= 254 + 166 + 216
= 636 m
Cost of fencing the fountain area
= 636 x 14
= $8904
Answer(s): (a) $364500; (b) $8904