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 $15 per square metre and the cost of fencing the fountain area is $11 per metre. Given that ZB is 261 m, UV is
18 of AC and ZY is 142 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
UV : AC
1 : 8
8 u → 216 m
1 u → 216 ÷ 8 = 27 m
UV = 1 u = 27 x 1 = 27 m
Area of the picnic area
= 27 x 27
= 729 m
2 Cost of the picnic area
= 729 x 15
= $10935
(b)
Perimeter of the fountain area
= 261 + 142 + 216
= 619 m
Cost of fencing the fountain area
= 619 x 11
= $6809
Answer(s): (a) $10935; (b) $6809