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 $24 per square metre and the cost of fencing the fountain area is $13 per metre. Given that FH is 265 m, AB is
18 of GJ and FE is 173 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
AB : GJ
1 : 8
8 u → 216 m
1 u → 216 ÷ 8 = 27 m
AB = 1 u = 27 x 1 = 27 m
Area of the picnic area
= 27 x 27
= 729 m
2 Cost of the picnic area
= 729 x 24
= $17496
(b)
Perimeter of the fountain area
= 265 + 173 + 216
= 654 m
Cost of fencing the fountain area
= 654 x 13
= $8502
Answer(s): (a) $17496; (b) $8502