SOLUTION: There is a narrow rectangular plot reserved for a school,in Mahuli village.The length and breadth of the plot are in the ratio 11:4.At the rate of Rs 100 per metre it will cost the

Algebra ->  Rectangles -> SOLUTION: There is a narrow rectangular plot reserved for a school,in Mahuli village.The length and breadth of the plot are in the ratio 11:4.At the rate of Rs 100 per metre it will cost the      Log On


   



Question 1091397: There is a narrow rectangular plot reserved for a school,in Mahuli village.The length and breadth of the plot are in the ratio 11:4.At the rate of Rs 100 per metre it will cost the village Panchayat Rs 75000 to fence the plot.what are the dimensions of the plot???
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find the total meters of fence needed
In words:
[ total cost ] / [ cost/meter ] = [ meters ]
+75000+%2F+100+=+750+ m
-----------------------------
Let the length = +a+
Let the breadth = +b+
(1) +2a+%2B+2b+=+750+
(2) +11%2F4+=+a%2Fb+
-------------------------
(2) +11b+=+4a+
and
(1) +2a+=+750+-+2b+
(1) +a+=+%281%2F2%29%2A%28+750+-+2b+%29+
Plug (1) into (2)
(2) +11b+=+4%2A%281%2F2%29%2A%28+750+-+2b+%29+
(2) +11b+=+2%2A%28+750+-+2b+%29+
(2) +11b+=+1500+-+4b+
(2) +15b+=+1500+
(2) +b+=+100+
and
(1) +a+=+%281%2F2%29%2A%28750+-+2b+%29+
(1) +a+=+%281%2F2%29%2A%28+750+-+200+%29+
(1) +a+=+%281%2F2%29%2A550+
(1) +a+=+275+
-----------------------
The dimensions are 275 x 100
---------------------------------
check:
Total length was +750+ m
(1) +2a+%2B+2b+=+750+
(1) +2%2A275+%2B+2%2A100+=+750+
(1) +550+%2B+200+=+750+
(1) +750+=+750+
and
(2) +11b+=+4a+
(2) +11%2A100+=+4%2A275+
(2) +1100+=+1100+
OK