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 $26 per square metre and the cost of fencing the fountain area is $12 per metre. Given that RT is 235 m, LM is
313 of SU and RQ is 124 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
LM : SU
3 : 13
13 u → 195 m
1 u → 195 ÷ 13 = 15 m
LM = 3 u = 15 x 3 = 45 m
Area of the picnic area
= 45 x 45
= 2025 m
2 Cost of the picnic area
= 2025 x 26
= $52650
(b)
Perimeter of the fountain area
= 235 + 124 + 195
= 554 m
Cost of fencing the fountain area
= 554 x 12
= $6648
Answer(s): (a) $52650; (b) $6648