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 DEFG is $29 per square metre and the cost of fencing the fountain area is $14 per metre. Given that JL is 267 m, DE is
58 of KM and JH is 162 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
DE : KM
5 : 8
8 u → 216 m
1 u → 216 ÷ 8 = 27 m
DE = 5 u = 27 x 5 = 135 m
Area of the picnic area
= 135 x 135
= 18225 m
2 Cost of the picnic area
= 18225 x 29
= $528525
(b)
Perimeter of the fountain area
= 267 + 162 + 216
= 645 m
Cost of fencing the fountain area
= 645 x 14
= $9030
Answer(s): (a) $528525; (b) $9030