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 $24 per square metre and the cost of fencing the fountain area is $12 per metre. Given that QS is 244 m, KL is
113 of RT and QP is 159 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
1 : 13
13 u → 195 m
1 u → 195 ÷ 13 = 15 m
KL = 1 u = 15 x 1 = 15 m
Area of the picnic area
= 15 x 15
= 225 m
2 Cost of the picnic area
= 225 x 24
= $5400
(b)
Perimeter of the fountain area
= 244 + 159 + 195
= 598 m
Cost of fencing the fountain area
= 598 x 12
= $7176
Answer(s): (a) $5400; (b) $7176