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 $23 per square metre and the cost of fencing the fountain area is $13 per metre. Given that AC is 249 m, VW is
17 of BD and AZ is 176 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
VW : BD
1 : 7
7 u → 196 m
1 u → 196 ÷ 7 = 28 m
VW = 1 u = 28 x 1 = 28 m
Area of the picnic area
= 28 x 28
= 784 m
2 Cost of the picnic area
= 784 x 23
= $18032
(b)
Perimeter of the fountain area
= 249 + 176 + 196
= 621 m
Cost of fencing the fountain area
= 621 x 13
= $8073
Answer(s): (a) $18032; (b) $8073