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 $18 per square metre and the cost of fencing the fountain area is $13 per metre. Given that KM is 265 m, EF is
38 of LN and KJ is 158 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
EF : LN
3 : 8
8 u → 216 m
1 u → 216 ÷ 8 = 27 m
EF = 3 u = 27 x 3 = 81 m
Area of the picnic area
= 81 x 81
= 6561 m
2 Cost of the picnic area
= 6561 x 18
= $118098
(b)
Perimeter of the fountain area
= 265 + 158 + 216
= 639 m
Cost of fencing the fountain area
= 639 x 13
= $8307
Answer(s): (a) $118098; (b) $8307