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 $10 per metre. Given that QS is 247 m, KL is
511 of RT and QP is 150 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
5 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
KL = 5 u = 19 x 5 = 95 m
Area of the picnic area
= 95 x 95
= 9025 m
2 Cost of the picnic area
= 9025 x 26
= $234650
(b)
Perimeter of the fountain area
= 247 + 150 + 209
= 606 m
Cost of fencing the fountain area
= 606 x 10
= $6060
Answer(s): (a) $234650; (b) $6060