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 TUVW is $24 per square metre and the cost of fencing the fountain area is $14 per metre. Given that YA is 272 m, TU is
58 of ZB and YX is 130 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
TU : ZB
5 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
TU = 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 24
= $470400
(b)
Perimeter of the fountain area
= 272 + 130 + 224
= 626 m
Cost of fencing the fountain area
= 626 x 14
= $8764
Answer(s): (a) $470400; (b) $8764