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 $30 per square metre and the cost of fencing the fountain area is $14 per metre. Given that QS is 247 m, KL is
37 of RT and QP is 164 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
3 : 7
7 u → 196 m
1 u → 196 ÷ 7 = 28 m
KL = 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 30
= $211680
(b)
Perimeter of the fountain area
= 247 + 164 + 196
= 607 m
Cost of fencing the fountain area
= 607 x 14
= $8498
Answer(s): (a) $211680; (b) $8498