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 $27 per square metre and the cost of fencing the fountain area is $10 per metre. Given that EG is 262 m, ZA is
18 of FH and ED is 179 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
ZA : FH
1 : 8
8 u → 208 m
1 u → 208 ÷ 8 = 26 m
ZA = 1 u = 26 x 1 = 26 m
Area of the picnic area
= 26 x 26
= 676 m
2 Cost of the picnic area
= 676 x 27
= $18252
(b)
Perimeter of the fountain area
= 262 + 179 + 208
= 649 m
Cost of fencing the fountain area
= 649 x 10
= $6490
Answer(s): (a) $18252; (b) $6490