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 $16 per square metre and the cost of fencing the fountain area is $11 per metre. Given that AC is 239 m, VW is
513 of BD and AZ is 129 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
VW : BD
5 : 13
13 u → 195 m
1 u → 195 ÷ 13 = 15 m
VW = 5 u = 15 x 5 = 75 m
Area of the picnic area
= 75 x 75
= 5625 m
2 Cost of the picnic area
= 5625 x 16
= $90000
(b)
Perimeter of the fountain area
= 239 + 129 + 195
= 563 m
Cost of fencing the fountain area
= 563 x 11
= $6193
Answer(s): (a) $90000; (b) $6193