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 $17 per square metre and the cost of fencing the fountain area is $11 per metre. Given that WY is 260 m, RS is
38 of XZ and WV is 166 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
RS : XZ
3 : 8
8 u → 208 m
1 u → 208 ÷ 8 = 26 m
RS = 3 u = 26 x 3 = 78 m
Area of the picnic area
= 78 x 78
= 6084 m
2 Cost of the picnic area
= 6084 x 17
= $103428
(b)
Perimeter of the fountain area
= 260 + 166 + 208
= 634 m
Cost of fencing the fountain area
= 634 x 11
= $6974
Answer(s): (a) $103428; (b) $6974