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 WXYZ is $21 per square metre and the cost of fencing the fountain area is $12 per metre. Given that BD is 241 m, WX is
37 of CE and BA is 148 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
WX : CE
3 : 7
7 u → 196 m
1 u → 196 ÷ 7 = 28 m
WX = 3 u = 28 x 3 = 84 m
Area of the picnic area
= 84 x 84
= 7056 m
2 Cost of the picnic area
= 7056 x 21
= $148176
(b)
Perimeter of the fountain area
= 241 + 148 + 196
= 585 m
Cost of fencing the fountain area
= 585 x 12
= $7020
Answer(s): (a) $148176; (b) $7020