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 $20 per square metre and the cost of fencing the fountain area is $14 per metre. Given that QS is 239 m, KL is
18 of RT and QP is 152 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
1 : 8
8 u → 192 m
1 u → 192 ÷ 8 = 24 m
KL = 1 u = 24 x 1 = 24 m
Area of the picnic area
= 24 x 24
= 576 m
2 Cost of the picnic area
= 576 x 20
= $11520
(b)
Perimeter of the fountain area
= 239 + 152 + 192
= 583 m
Cost of fencing the fountain area
= 583 x 14
= $8162
Answer(s): (a) $11520; (b) $8162