There is a narrow rectangular plot, reserved for a school, in Mahuli village. The
Tength and breadth of the plot are in the ratio 11:4. At the rate 100 per metre it will
cost the village panchayat 75000 to fence the plot. What are the dimensions of
the plot?
Answers
I guess it is from ncert book,ok let me help u,pls mark as brainliest answer
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.
let the common multiple be x
the length will be 11x
breadth = 4x
Perimeter = 2( L + B )
=2(11x+4x)
= 2*15x
=30x
At the rate Rs 100 per meter
30x * 100 = 3000x
3000x= 75000
3x=75
x=25
11x = 11*25 = 275m
4x=4*25 = 100 m
275m & 100m are the dimensions of the Plot
Hope u get it
total cost = Rs. 75,000
cost per metre = Rs. 100
total area = 75000/100
= 750
Dimensions = 2(11x + 4x)
750 = 2(15x)
750/2 = 15x
375 = 15x
375/15 = x
25 = x
Then the dimensions are 11x ==> 11(25)
=275
4x ==> 4(25)
=100
length = 275 metres
breadth = 100 mrtres