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 EFGH is $20 per square metre and the cost of fencing the fountain area is $11 per metre. Given that KM is 240 m, EF is
111 of LN and KJ is 124 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
EF : LN
1 : 11
11 u → 198 m
1 u → 198 ÷ 11 = 18 m
EF = 1 u = 18 x 1 = 18 m
Area of the picnic area
= 18 x 18
= 324 m
2 Cost of the picnic area
= 324 x 20
= $6480
(b)
Perimeter of the fountain area
= 240 + 124 + 198
= 562 m
Cost of fencing the fountain area
= 562 x 11
= $6182
Answer(s): (a) $6480; (b) $6182