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 ABCD is $23 per square metre and the cost of fencing the fountain area is $10 per metre. Given that FH is 267 m, AB is
58 of GJ and FE is 142 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
AB : GJ
5 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
AB = 5 u = 28 x 5 = 140 m
Area of the picnic area
= 140 x 140
= 19600 m
2 Cost of the picnic area
= 19600 x 23
= $450800
(b)
Perimeter of the fountain area
= 267 + 142 + 224
= 633 m
Cost of fencing the fountain area
= 633 x 10
= $6330
Answer(s): (a) $450800; (b) $6330