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 $28 per square metre and the cost of fencing the fountain area is $11 per metre. Given that QS is 259 m, KL is
38 of RT and QP is 144 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
3 : 8
8 u → 216 m
1 u → 216 ÷ 8 = 27 m
KL = 3 u = 27 x 3 = 81 m
Area of the picnic area
= 81 x 81
= 6561 m
2 Cost of the picnic area
= 6561 x 28
= $183708
(b)
Perimeter of the fountain area
= 259 + 144 + 216
= 619 m
Cost of fencing the fountain area
= 619 x 11
= $6809
Answer(s): (a) $183708; (b) $6809