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 $20 per square metre and the cost of fencing the fountain area is $12 per metre. Given that JL is 268 m, DE is
111 of KM and JH is 171 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
DE : KM
1 : 11
11 u → 220 m
1 u → 220 ÷ 11 = 20 m
DE = 1 u = 20 x 1 = 20 m
Area of the picnic area
= 20 x 20
= 400 m
2 Cost of the picnic area
= 400 x 20
= $8000
(b)
Perimeter of the fountain area
= 268 + 171 + 220
= 659 m
Cost of fencing the fountain area
= 659 x 12
= $7908
Answer(s): (a) $8000; (b) $7908