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 ABCD is $27 per square metre and the cost of fencing the fountain area is $12 per metre. Given that FH is 266 m, AB is
37 of GJ and FE is 132 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
AB : GJ
3 : 7
7 u → 217 m
1 u → 217 ÷ 7 = 31 m
AB = 3 u = 31 x 3 = 93 m
Area of the picnic area
= 93 x 93
= 8649 m
2 Cost of the picnic area
= 8649 x 27
= $233523
(b)
Perimeter of the fountain area
= 266 + 132 + 217
= 615 m
Cost of fencing the fountain area
= 615 x 12
= $7380
Answer(s): (a) $233523; (b) $7380