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 FGHJ is $22 per square metre and the cost of fencing the fountain area is $11 per metre. Given that LN is 244 m, FG is
58 of MP and LK is 150 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
FG : MP
5 : 8
8 u → 192 m
1 u → 192 ÷ 8 = 24 m
FG = 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 22
= $316800
(b)
Perimeter of the fountain area
= 244 + 150 + 192
= 586 m
Cost of fencing the fountain area
= 586 x 11
= $6446
Answer(s): (a) $316800; (b) $6446