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 $27 per square metre and the cost of fencing the fountain area is $10 per metre. Given that SU is 254 m, MN is
113 of TV and SR is 162 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
MN : TV
1 : 13
13 u → 208 m
1 u → 208 ÷ 13 = 16 m
MN = 1 u = 16 x 1 = 16 m
Area of the picnic area
= 16 x 16
= 256 m
2 Cost of the picnic area
= 256 x 27
= $6912
(b)
Perimeter of the fountain area
= 254 + 162 + 208
= 624 m
Cost of fencing the fountain area
= 624 x 10
= $6240
Answer(s): (a) $6912; (b) $6240