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 $23 per square metre and the cost of fencing the fountain area is $13 per metre. Given that VX is 253 m, QR is
511 of WY and VU is 171 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
QR : WY
5 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
QR = 5 u = 19 x 5 = 95 m
Area of the picnic area
= 95 x 95
= 9025 m
2 Cost of the picnic area
= 9025 x 23
= $207575
(b)
Perimeter of the fountain area
= 253 + 171 + 209
= 633 m
Cost of fencing the fountain area
= 633 x 13
= $8229
Answer(s): (a) $207575; (b) $8229