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 YZAB is $20 per square metre and the cost of fencing the fountain area is $11 per metre. Given that DF is 248 m, YZ is
18 of EG and DC is 152 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
YZ : EG
1 : 8
8 u → 208 m
1 u → 208 ÷ 8 = 26 m
YZ = 1 u = 26 x 1 = 26 m
Area of the picnic area
= 26 x 26
= 676 m
2 Cost of the picnic area
= 676 x 20
= $13520
(b)
Perimeter of the fountain area
= 248 + 152 + 208
= 608 m
Cost of fencing the fountain area
= 608 x 11
= $6688
Answer(s): (a) $13520; (b) $6688