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 $16 per square metre and the cost of fencing the fountain area is $12 per metre. Given that CE is 255 m, XY is
111 of DF and CB is 133 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
XY : DF
1 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
XY = 1 u = 19 x 1 = 19 m
Area of the picnic area
= 19 x 19
= 361 m
2 Cost of the picnic area
= 361 x 16
= $5776
(b)
Perimeter of the fountain area
= 255 + 133 + 209
= 597 m
Cost of fencing the fountain area
= 597 x 12
= $7164
Answer(s): (a) $5776; (b) $7164