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 $16 per square metre and the cost of fencing the fountain area is $13 per metre. Given that JL is 260 m, DE is
17 of KM and JH is 169 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
DE : KM
1 : 7
7 u → 210 m
1 u → 210 ÷ 7 = 30 m
DE = 1 u = 30 x 1 = 30 m
Area of the picnic area
= 30 x 30
= 900 m
2 Cost of the picnic area
= 900 x 16
= $14400
(b)
Perimeter of the fountain area
= 260 + 169 + 210
= 639 m
Cost of fencing the fountain area
= 639 x 13
= $8307
Answer(s): (a) $14400; (b) $8307