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 XYZA is $21 per square metre and the cost of fencing the fountain area is $13 per metre. Given that CE is 236 m, XY is
57 of DF and CB is 129 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
XY : DF
5 : 7
7 u → 196 m
1 u → 196 ÷ 7 = 28 m
XY = 5 u = 28 x 5 = 140 m
Area of the picnic area
= 140 x 140
= 19600 m
2 Cost of the picnic area
= 19600 x 21
= $411600
(b)
Perimeter of the fountain area
= 236 + 129 + 196
= 561 m
Cost of fencing the fountain area
= 561 x 13
= $7293
Answer(s): (a) $411600; (b) $7293