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 $30 per square metre and the cost of fencing the fountain area is $14 per metre. Given that EG is 272 m, ZA is
17 of FH and ED is 143 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
ZA : FH
1 : 7
7 u → 224 m
1 u → 224 ÷ 7 = 32 m
ZA = 1 u = 32 x 1 = 32 m
Area of the picnic area
= 32 x 32
= 1024 m
2 Cost of the picnic area
= 1024 x 30
= $30720
(b)
Perimeter of the fountain area
= 272 + 143 + 224
= 639 m
Cost of fencing the fountain area
= 639 x 14
= $8946
Answer(s): (a) $30720; (b) $8946