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 $15 per square metre and the cost of fencing the fountain area is $11 per metre. Given that RT is 244 m, LM is
18 of SU and RQ is 137 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
LM : SU
1 : 8
8 u → 200 m
1 u → 200 ÷ 8 = 25 m
LM = 1 u = 25 x 1 = 25 m
Area of the picnic area
= 25 x 25
= 625 m
2 Cost of the picnic area
= 625 x 15
= $9375
(b)
Perimeter of the fountain area
= 244 + 137 + 200
= 581 m
Cost of fencing the fountain area
= 581 x 11
= $6391
Answer(s): (a) $9375; (b) $6391