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 KLMN is $21 per square metre and the cost of fencing the fountain area is $14 per metre. Given that QS is 247 m, KL is
311 of RT and QP is 175 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
3 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
KL = 3 u = 19 x 3 = 57 m
Area of the picnic area
= 57 x 57
= 3249 m
2 Cost of the picnic area
= 3249 x 21
= $68229
(b)
Perimeter of the fountain area
= 247 + 175 + 209
= 631 m
Cost of fencing the fountain area
= 631 x 14
= $8834
Answer(s): (a) $68229; (b) $8834