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 HJKL is $18 per square metre and the cost of fencing the fountain area is $14 per metre. Given that NQ is 244 m, HJ is
18 of PR and NM is 127 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
HJ : PR
1 : 8
8 u → 200 m
1 u → 200 ÷ 8 = 25 m
HJ = 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 18
= $11250
(b)
Perimeter of the fountain area
= 244 + 127 + 200
= 571 m
Cost of fencing the fountain area
= 571 x 14
= $7994
Answer(s): (a) $11250; (b) $7994