Math, asked by Yashdeek2004, 9 months ago

The cost of ploughing the rectangular field at the rate of Rs.100 per square meter is Rs.49300.If the perimeter of the field is 92m, find the length and breadth of the field

Answers

Answered by nimishbatra0712
1

Area = l × b = 49300/100

lb = 493

Perimeter = 2 (l + b) = 92

l + b = 46

(l - b) {}^{2} = (l + b) {}^{2} - 4lb(l−b)

2

=(l+b)

2

−4lb

(l - b) {}^{2} = 46 {}^{2} - 4 \times 493(l−b)

2

=46

2

−4×493

(l - b) {}^{2} = 2116 - 1972(l−b)

2

=2116−1972

(l - b) {}^{2} = 144(l−b)

2

=144

l - b = \sqrt{144}l−b=

144

l-b = 12

\begin{lgathered}l + b = 46 \\ l - b = 12 \\\end{lgathered}

l+b=46

l−b=12

2l = 58

l= 58/2 = 29 m

l + b = 46

b = 46 - 29 = 17 m

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