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 $16 per square metre and the cost of fencing the fountain area is $13 per metre. Given that NQ is 235 m, HJ is
113 of PR and NM is 151 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
HJ : PR
1 : 13
13 u → 195 m
1 u → 195 ÷ 13 = 15 m
HJ = 1 u = 15 x 1 = 15 m
Area of the picnic area
= 15 x 15
= 225 m
2 Cost of the picnic area
= 225 x 16
= $3600
(b)
Perimeter of the fountain area
= 235 + 151 + 195
= 581 m
Cost of fencing the fountain area
= 581 x 13
= $7553
Answer(s): (a) $3600; (b) $7553