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 $14 per metre. Given that QS is 241 m, KL is
57 of RT and QP is 175 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
5 : 7
7 u → 196 m
1 u → 196 ÷ 7 = 28 m
KL = 5 u = 28 x 5 = 140 m
Area of the picnic area
= 140 x 140
= 19600 m
2 Cost of the picnic area
= 19600 x 24
= $470400
(b)
Perimeter of the fountain area
= 241 + 175 + 196
= 612 m
Cost of fencing the fountain area
= 612 x 14
= $8568
Answer(s): (a) $470400; (b) $8568