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 $18 per square metre and the cost of fencing the fountain area is $14 per metre. Given that EG is 244 m, ZA is
18 of FH and ED is 135 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
ZA : FH
1 : 8
8 u → 192 m
1 u → 192 ÷ 8 = 24 m
ZA = 1 u = 24 x 1 = 24 m
Area of the picnic area
= 24 x 24
= 576 m
2 Cost of the picnic area
= 576 x 18
= $10368
(b)
Perimeter of the fountain area
= 244 + 135 + 192
= 571 m
Cost of fencing the fountain area
= 571 x 14
= $7994
Answer(s): (a) $10368; (b) $7994