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 LMNP is $25 per square metre and the cost of fencing the fountain area is $13 per metre. Given that RT is 259 m, LM is
18 of SU and RQ is 131 m, find
- the cost of building the picnic area.
- the cost of fencing the fountain.
(a)
LM : SU
1 : 8
8 u → 224 m
1 u → 224 ÷ 8 = 28 m
LM = 1 u = 28 x 1 = 28 m
Area of the picnic area
= 28 x 28
= 784 m
2 Cost of the picnic area
= 784 x 25
= $19600
(b)
Perimeter of the fountain area
= 259 + 131 + 224
= 614 m
Cost of fencing the fountain area
= 614 x 13
= $7982
Answer(s): (a) $19600; (b) $7982