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 243 m, HJ is
37 of PR and NM is 161 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
HJ : PR
3 : 7
7 u → 196 m
1 u → 196 ÷ 7 = 28 m
HJ = 3 u = 28 x 3 = 84 m
Area of the picnic area
= 84 x 84
= 7056 m
2 Cost of the picnic area
= 7056 x 16
= $112896
(b)
Perimeter of the fountain area
= 243 + 161 + 196
= 600 m
Cost of fencing the fountain area
= 600 x 13
= $7800
Answer(s): (a) $112896; (b) $7800