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 GHJK is $18 per square metre and the cost of fencing the fountain area is $14 per metre. Given that MP is 262 m, GH is
38 of NQ and ML is 139 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
GH : NQ
3 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
GH = 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 18
= $127008
(b)
Perimeter of the fountain area
= 262 + 139 + 224
= 625 m
Cost of fencing the fountain area
= 625 x 14
= $8750
Answer(s): (a) $127008; (b) $8750