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 $21 per square metre and the cost of fencing the fountain area is $12 per metre. Given that JL is 271 m, DE is
37 of KM and JH is 152 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
DE : KM
3 : 7
7 u → 224 m
1 u → 224 ÷ 7 = 32 m
DE = 3 u = 32 x 3 = 96 m
Area of the picnic area
= 96 x 96
= 9216 m
2 Cost of the picnic area
= 9216 x 21
= $193536
(b)
Perimeter of the fountain area
= 271 + 152 + 224
= 647 m
Cost of fencing the fountain area
= 647 x 12
= $7764
Answer(s): (a) $193536; (b) $7764