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 WXYZ is $17 per square metre and the cost of fencing the fountain area is $13 per metre. Given that BD is 272 m, WX is
58 of CE and BA is 166 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
WX : CE
5 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
WX = 5 u = 28 x 5 = 140 m
Area of the picnic area
= 140 x 140
= 19600 m
2 Cost of the picnic area
= 19600 x 17
= $333200
(b)
Perimeter of the fountain area
= 272 + 166 + 224
= 662 m
Cost of fencing the fountain area
= 662 x 13
= $8606
Answer(s): (a) $333200; (b) $8606