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 CDEF is $30 per square metre and the cost of fencing the fountain area is $14 per metre. Given that HK is 250 m, CD is
38 of JL and HG is 125 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
CD : JL
3 : 8
8 u → 208 m
1 u → 208 ÷ 8 = 26 m
CD = 3 u = 26 x 3 = 78 m
Area of the picnic area
= 78 x 78
= 6084 m
2 Cost of the picnic area
= 6084 x 30
= $182520
(b)
Perimeter of the fountain area
= 250 + 125 + 208
= 583 m
Cost of fencing the fountain area
= 583 x 14
= $8162
Answer(s): (a) $182520; (b) $8162