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 $21 per square metre and the cost of fencing the fountain area is $14 per metre. Given that AC is 261 m, VW is
58 of BD and AZ is 130 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
VW : BD
5 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
VW = 5 u = 28 x 5 = 140 m
Area of the picnic area
= 140 x 140
= 19600 m
2 Cost of the picnic area
= 19600 x 21
= $411600
(b)
Perimeter of the fountain area
= 261 + 130 + 224
= 615 m
Cost of fencing the fountain area
= 615 x 14
= $8610
Answer(s): (a) $411600; (b) $8610