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 ZABC is $23 per square metre and the cost of fencing the fountain area is $10 per metre. Given that EG is 271 m, ZA is
113 of FH and ED is 175 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
ZA : FH
1 : 13
13 u → 221 m
1 u → 221 ÷ 13 = 17 m
ZA = 1 u = 17 x 1 = 17 m
Area of the picnic area
= 17 x 17
= 289 m
2 Cost of the picnic area
= 289 x 23
= $6647
(b)
Perimeter of the fountain area
= 271 + 175 + 221
= 667 m
Cost of fencing the fountain area
= 667 x 10
= $6670
Answer(s): (a) $6647; (b) $6670