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 $28 per square metre and the cost of fencing the fountain area is $10 per metre. Given that LN is 256 m, FG is
57 of MP and LK is 180 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
FG : MP
5 : 7
7 u → 203 m
1 u → 203 ÷ 7 = 29 m
FG = 5 u = 29 x 5 = 145 m
Area of the picnic area
= 145 x 145
= 21025 m
2 Cost of the picnic area
= 21025 x 28
= $588700
(b)
Perimeter of the fountain area
= 256 + 180 + 203
= 639 m
Cost of fencing the fountain area
= 639 x 10
= $6390
Answer(s): (a) $588700; (b) $6390