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 $20 per square metre and the cost of fencing the fountain area is $14 per metre. Given that VX is 260 m, QR is
57 of WY and VU is 167 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
QR : WY
5 : 7
7 u → 217 m
1 u → 217 ÷ 7 = 31 m
QR = 5 u = 31 x 5 = 155 m
Area of the picnic area
= 155 x 155
= 24025 m
2 Cost of the picnic area
= 24025 x 20
= $480500
(b)
Perimeter of the fountain area
= 260 + 167 + 217
= 644 m
Cost of fencing the fountain area
= 644 x 14
= $9016
Answer(s): (a) $480500; (b) $9016