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 KLMN is $26 per square metre and the cost of fencing the fountain area is $12 per metre. Given that QS is 269 m, KL is
37 of RT and QP is 163 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
3 : 7
7 u → 217 m
1 u → 217 ÷ 7 = 31 m
KL = 3 u = 31 x 3 = 93 m
Area of the picnic area
= 93 x 93
= 8649 m
2 Cost of the picnic area
= 8649 x 26
= $224874
(b)
Perimeter of the fountain area
= 269 + 163 + 217
= 649 m
Cost of fencing the fountain area
= 649 x 12
= $7788
Answer(s): (a) $224874; (b) $7788