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 VWXY is $27 per square metre and the cost of fencing the fountain area is $12 per metre. Given that AC is 263 m, VW is
38 of BD and AZ is 123 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
VW : BD
3 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
VW = 3 u = 28 x 3 = 84 m
Area of the picnic area
= 84 x 84
= 7056 m
2 Cost of the picnic area
= 7056 x 27
= $190512
(b)
Perimeter of the fountain area
= 263 + 123 + 224
= 610 m
Cost of fencing the fountain area
= 610 x 12
= $7320
Answer(s): (a) $190512; (b) $7320