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 $29 per square metre and the cost of fencing the fountain area is $13 per metre. Given that FH is 232 m, AB is
58 of GJ and FE is 126 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
AB : GJ
5 : 8
8 u → 192 m
1 u → 192 ÷ 8 = 24 m
AB = 5 u = 24 x 5 = 120 m
Area of the picnic area
= 120 x 120
= 14400 m
2 Cost of the picnic area
= 14400 x 29
= $417600
(b)
Perimeter of the fountain area
= 232 + 126 + 192
= 550 m
Cost of fencing the fountain area
= 550 x 13
= $7150
Answer(s): (a) $417600; (b) $7150