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 $29 per square metre and the cost of fencing the fountain area is $10 per metre. Given that QS is 252 m, KL is
58 of RT and QP is 174 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
KL : RT
5 : 8
8 u → 208 m
1 u → 208 ÷ 8 = 26 m
KL = 5 u = 26 x 5 = 130 m
Area of the picnic area
= 130 x 130
= 16900 m
2 Cost of the picnic area
= 16900 x 29
= $490100
(b)
Perimeter of the fountain area
= 252 + 174 + 208
= 634 m
Cost of fencing the fountain area
= 634 x 10
= $6340
Answer(s): (a) $490100; (b) $6340