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 QRST is $24 per square metre and the cost of fencing the fountain area is $10 per metre. Given that VX is 254 m, QR is
18 of WY and VU is 153 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
QR : WY
1 : 8
8 u → 216 m
1 u → 216 ÷ 8 = 27 m
QR = 1 u = 27 x 1 = 27 m
Area of the picnic area
= 27 x 27
= 729 m
2 Cost of the picnic area
= 729 x 24
= $17496
(b)
Perimeter of the fountain area
= 254 + 153 + 216
= 623 m
Cost of fencing the fountain area
= 623 x 10
= $6230
Answer(s): (a) $17496; (b) $6230