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 UVWX is $18 per square metre and the cost of fencing the fountain area is $12 per metre. Given that ZB is 248 m, UV is
18 of AC and ZY is 129 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
UV : AC
1 : 8
8 u → 200 m
1 u → 200 ÷ 8 = 25 m
UV = 1 u = 25 x 1 = 25 m
Area of the picnic area
= 25 x 25
= 625 m
2 Cost of the picnic area
= 625 x 18
= $11250
(b)
Perimeter of the fountain area
= 248 + 129 + 200
= 577 m
Cost of fencing the fountain area
= 577 x 12
= $6924
Answer(s): (a) $11250; (b) $6924