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 RSTU is $22 per square metre and the cost of fencing the fountain area is $10 per metre. Given that WY is 260 m, RS is
58 of XZ and WV is 169 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
RS : XZ
5 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
RS = 5 u = 28 x 5 = 140 m
Area of the picnic area
= 140 x 140
= 19600 m
2 Cost of the picnic area
= 19600 x 22
= $431200
(b)
Perimeter of the fountain area
= 260 + 169 + 224
= 653 m
Cost of fencing the fountain area
= 653 x 10
= $6530
Answer(s): (a) $431200; (b) $6530