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 $30 per square metre and the cost of fencing the fountain area is $12 per metre. Given that AC is 274 m, VW is
17 of BD and AZ is 144 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
VW : BD
1 : 7
7 u → 224 m
1 u → 224 ÷ 7 = 32 m
VW = 1 u = 32 x 1 = 32 m
Area of the picnic area
= 32 x 32
= 1024 m
2 Cost of the picnic area
= 1024 x 30
= $30720
(b)
Perimeter of the fountain area
= 274 + 144 + 224
= 642 m
Cost of fencing the fountain area
= 642 x 12
= $7704
Answer(s): (a) $30720; (b) $7704