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 JKLM is $20 per square metre and the cost of fencing the fountain area is $10 per metre. Given that PR is 264 m, JK is
17 of QS and PN is 123 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
JK : QS
1 : 7
7 u → 224 m
1 u → 224 ÷ 7 = 32 m
JK = 1 u = 32 x 1 = 32 m
Area of the picnic area
= 32 x 32
= 1024 m
2 Cost of the picnic area
= 1024 x 20
= $20480
(b)
Perimeter of the fountain area
= 264 + 123 + 224
= 611 m
Cost of fencing the fountain area
= 611 x 10
= $6110
Answer(s): (a) $20480; (b) $6110