Question

(please explain with brief explanation)

The area of a rectangular field is 2000 sq.m and its perimeter is 180m. Form a quadratic equation by taking the length of the field as x and solve it to find the length and breadth of the field. the length and breadth are A) (205m, 80m) B) (50m, 40m) C) (40m, 50m) D)None

Answer 1

length = x
width = 2000/x

2x + 2 (2000/x) = 180

x + 2000/x = 90

x^2 + 2000 = 90 x

x^2 - 90 x + 2000 = 0