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 FGHJ is $28 per square metre and the cost of fencing the fountain area is $10 per metre. Given that LN is 266 m, FG is
513 of MP and LK is 166 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
FG : MP
5 : 13
13 u → 221 m
1 u → 221 ÷ 13 = 17 m
FG = 5 u = 17 x 5 = 85 m
Area of the picnic area
= 85 x 85
= 7225 m
2 Cost of the picnic area
= 7225 x 28
= $202300
(b)
Perimeter of the fountain area
= 266 + 166 + 221
= 653 m
Cost of fencing the fountain area
= 653 x 10
= $6530
Answer(s): (a) $202300; (b) $6530