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 LMNP is $17 per square metre and the cost of fencing the fountain area is $11 per metre. Given that RT is 255 m, LM is
37 of SU and RQ is 149 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
LM : SU
3 : 7
7 u → 217 m
1 u → 217 ÷ 7 = 31 m
LM = 3 u = 31 x 3 = 93 m
Area of the picnic area
= 93 x 93
= 8649 m
2 Cost of the picnic area
= 8649 x 17
= $147033
(b)
Perimeter of the fountain area
= 255 + 149 + 217
= 621 m
Cost of fencing the fountain area
= 621 x 11
= $6831
Answer(s): (a) $147033; (b) $6831