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 $15 per square metre and the cost of fencing the fountain area is $10 per metre. Given that CE is 266 m, XY is
38 of DF and CB is 131 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
XY : DF
3 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
XY = 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 15
= $105840
(b)
Perimeter of the fountain area
= 266 + 131 + 224
= 621 m
Cost of fencing the fountain area
= 621 x 10
= $6210
Answer(s): (a) $105840; (b) $6210