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 RSTU is $23 per square metre and the cost of fencing the fountain area is $14 per metre. Given that WY is 252 m, RS is
311 of XZ and WV is 156 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
RS : XZ
3 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
RS = 3 u = 19 x 3 = 57 m
Area of the picnic area
= 57 x 57
= 3249 m
2 Cost of the picnic area
= 3249 x 23
= $74727
(b)
Perimeter of the fountain area
= 252 + 156 + 209
= 617 m
Cost of fencing the fountain area
= 617 x 14
= $8638
Answer(s): (a) $74727; (b) $8638