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 $28 per square metre and the cost of fencing the fountain area is $12 per metre. Given that QS is 255 m, KL is
111 of RT and QP is 171 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
1 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
KL = 1 u = 19 x 1 = 19 m
Area of the picnic area
= 19 x 19
= 361 m
2 Cost of the picnic area
= 361 x 28
= $10108
(b)
Perimeter of the fountain area
= 255 + 171 + 209
= 635 m
Cost of fencing the fountain area
= 635 x 12
= $7620
Answer(s): (a) $10108; (b) $7620