Question

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

Answer 1

Step-by-step explanation:

Area = l × b = 49300/100

lb = 493

Perimeter = 2 (l + b) = 92

l + b = 46

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

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

$(l - b) {}^{2} = 2116 - 1972$

$(l - b) {}^{2} = 144$

$l - b = \sqrt{144}$

l-b = 12

$l + b = 46 \\ l - b = 12$

2l = 58

l= 58/2 = 29 m

l + b = 46

b = 46 - 29 = 17 m