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 MNPQ is $21 per square metre and the cost of fencing the fountain area is $13 per metre. Given that SU is 260 m, MN is
58 of TV and SR is 147 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
MN : TV
5 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
MN = 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 21
= $411600
(b)
Perimeter of the fountain area
= 260 + 147 + 224
= 631 m
Cost of fencing the fountain area
= 631 x 13
= $8203
Answer(s): (a) $411600; (b) $8203