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 $10 per metre. Given that VX is 250 m, QR is
111 of WY and VU is 180 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
QR : WY
1 : 11
11 u → 209 m
1 u → 209 ÷ 11 = 19 m
QR = 1 u = 19 x 1 = 19 m
Area of the picnic area
= 19 x 19
= 361 m
2 Cost of the picnic area
= 361 x 23
= $8303
(b)
Perimeter of the fountain area
= 250 + 180 + 209
= 639 m
Cost of fencing the fountain area
= 639 x 10
= $6390
Answer(s): (a) $8303; (b) $6390