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 $29 per square metre and the cost of fencing the fountain area is $11 per metre. Given that WY is 251 m, RS is
57 of XZ and WV is 142 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
RS : XZ
5 : 7
7 u → 210 m
1 u → 210 ÷ 7 = 30 m
RS = 5 u = 30 x 5 = 150 m
Area of the picnic area
= 150 x 150
= 22500 m
2 Cost of the picnic area
= 22500 x 29
= $652500
(b)
Perimeter of the fountain area
= 251 + 142 + 210
= 603 m
Cost of fencing the fountain area
= 603 x 11
= $6633
Answer(s): (a) $652500; (b) $6633