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 $15 per square metre and the cost of fencing the fountain area is $13 per metre. Given that AC is 257 m, VW is
311 of BD and AZ is 180 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
VW : BD
3 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
VW = 3 u = 19 x 3 = 57 m
Area of the picnic area
= 57 x 57
= 3249 m
2 Cost of the picnic area
= 3249 x 15
= $48735
(b)
Perimeter of the fountain area
= 257 + 180 + 209
= 646 m
Cost of fencing the fountain area
= 646 x 13
= $8398
Answer(s): (a) $48735; (b) $8398