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 $18 per square metre and the cost of fencing the fountain area is $12 per metre. Given that QS is 245 m, KL is
511 of RT and QP is 141 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
5 : 11
11 u → 198 m
1 u → 198 ÷ 11 = 18 m
KL = 5 u = 18 x 5 = 90 m
Area of the picnic area
= 90 x 90
= 8100 m
2 Cost of the picnic area
= 8100 x 18
= $145800
(b)
Perimeter of the fountain area
= 245 + 141 + 198
= 584 m
Cost of fencing the fountain area
= 584 x 12
= $7008
Answer(s): (a) $145800; (b) $7008