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 $22 per square metre and the cost of fencing the fountain area is $13 per metre. Given that KM is 258 m, EF is
38 of LN and KJ is 155 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
EF : LN
3 : 8
8 u → 208 m
1 u → 208 ÷ 8 = 26 m
EF = 3 u = 26 x 3 = 78 m
Area of the picnic area
= 78 x 78
= 6084 m
2 Cost of the picnic area
= 6084 x 22
= $133848
(b)
Perimeter of the fountain area
= 258 + 155 + 208
= 621 m
Cost of fencing the fountain area
= 621 x 13
= $8073
Answer(s): (a) $133848; (b) $8073