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 $19 per square metre and the cost of fencing the fountain area is $12 per metre. Given that NQ is 254 m, HJ is
18 of PR and NM is 133 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
HJ : PR
1 : 8
8 u → 208 m
1 u → 208 ÷ 8 = 26 m
HJ = 1 u = 26 x 1 = 26 m
Area of the picnic area
= 26 x 26
= 676 m
2 Cost of the picnic area
= 676 x 19
= $12844
(b)
Perimeter of the fountain area
= 254 + 133 + 208
= 595 m
Cost of fencing the fountain area
= 595 x 12
= $7140
Answer(s): (a) $12844; (b) $7140