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 TUVW is $21 per square metre and the cost of fencing the fountain area is $13 per metre. Given that YA is 261 m, TU is
18 of ZB and YX is 138 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
TU : ZB
1 : 8
8 u → 208 m
1 u → 208 ÷ 8 = 26 m
TU = 1 u = 26 x 1 = 26 m
Area of the picnic area
= 26 x 26
= 676 m
2 Cost of the picnic area
= 676 x 21
= $14196
(b)
Perimeter of the fountain area
= 261 + 138 + 208
= 607 m
Cost of fencing the fountain area
= 607 x 13
= $7891
Answer(s): (a) $14196; (b) $7891