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CBSE Class 8 Answered

Mr piyush is a social worker.he always works for the welfare of his villagers.In his village there was no school building.piyush gave a plot for school building whose length and breadth are in ratio 10:3.he also donated rs .15,600 to fench a plot at rs.50 per metre a -Find the dimension of a plot and calculate its area
Asked by srivastavvibha52 | 01 May, 2023, 11:18: PM
answered-by-expert Expert Answer
Let the length and breadth of the plot be L and B respectively.
Given,
L colon B equals 10 colon 3
rightwards double arrow L over B equals 10 over 3
rightwards double arrow L equals fraction numerator 10 B over denominator 3 end fraction
Now, perimeter of the plot = 2(L + B)
equals 2 open parentheses fraction numerator 10 B over denominator 3 end fraction plus B close parentheses
equals 2 open parentheses fraction numerator 13 B over denominator 3 end fraction close parentheses
equals fraction numerator 26 B over denominator 3 end fraction
Cost of fencing = Rs. 50 per metre
Total cost = Rs. 15,600
fraction numerator 26 B over denominator 3 end fraction cross times 50 equals 15600
rightwards double arrow B equals fraction numerator 15600 cross times 3 over denominator 50 cross times 26 end fraction equals 36 space m
rightwards double arrow L equals fraction numerator 10 cross times 36 over denominator 3 end fraction equals 120 space m
rightwards double arrow A r e a space o f space t h e space p l o t equals L cross times B equals 120 space m cross times 36 space m equals 4320 space s q u a r e space m e t r e
Answered by Rashmi Khot | 02 May, 2023, 10:46: AM

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