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 YZAB is $17 per square metre and the cost of fencing the fountain area is $11 per metre. Given that DF is 237 m, YZ is
311 of EG and DC is 138 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
YZ : EG
3 : 11
11 u → 198 m
1 u → 198 ÷ 11 = 18 m
YZ = 3 u = 18 x 3 = 54 m
Area of the picnic area
= 54 x 54
= 2916 m
2 Cost of the picnic area
= 2916 x 17
= $49572
(b)
Perimeter of the fountain area
= 237 + 138 + 198
= 573 m
Cost of fencing the fountain area
= 573 x 11
= $6303
Answer(s): (a) $49572; (b) $6303