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 $23 per square metre and the cost of fencing the fountain area is $13 per metre. Given that PR is 262 m, JK is
57 of QS and PN is 128 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
JK : QS
5 : 7
7 u → 224 m
1 u → 224 ÷ 7 = 32 m
JK = 5 u = 32 x 5 = 160 m
Area of the picnic area
= 160 x 160
= 25600 m
2 Cost of the picnic area
= 25600 x 23
= $588800
(b)
Perimeter of the fountain area
= 262 + 128 + 224
= 614 m
Cost of fencing the fountain area
= 614 x 13
= $7982
Answer(s): (a) $588800; (b) $7982