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 $15 per square metre and the cost of fencing the fountain area is $13 per metre. Given that NQ is 253 m, HJ is
17 of PR and NM is 167 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
HJ : PR
1 : 7
7 u → 203 m
1 u → 203 ÷ 7 = 29 m
HJ = 1 u = 29 x 1 = 29 m
Area of the picnic area
= 29 x 29
= 841 m
2 Cost of the picnic area
= 841 x 15
= $12615
(b)
Perimeter of the fountain area
= 253 + 167 + 203
= 623 m
Cost of fencing the fountain area
= 623 x 13
= $8099
Answer(s): (a) $12615; (b) $8099