Question

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) (60m, 50m) d) none​

Answer 1

Answer:

option a is right option

Answer 2

Step-by-step explanation:

Let the length be l and the breadth be b. now area = 2000 sq.m so length * breadth = 2000; l*b=2000.

now perimeter = 180m

so 2 ( l + b ) =180;

l + b = 90;

l = 90 - b.

substituting this value of l in l * b = 2000,

( 90 - b ) * b = 2000;

90b - b^2 = 2000;

b^2 - 90b + 2000 = 0;

b^2 - 40b - 50b - 2000 = 0;

b ( b - 40 ) - 50( b - 40 ) = 0;

( b - 40 )( b - 50 ) = 0;

b = 40 or b = 50;

so l = 40 or l = 50 but the longer side is considered the length and the shorter one the breadth.

so length = 50 m and breadth = 40 m....

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