The perimeter of a rectangular field is 82m and its area is 400m find the dimensions of the field

The perimeter of a rectangular field is 82m and its area is 400m find

1.	The perimeter of a rectangular field is 82m and its area is 400m find the dimensions of the field
Answer» Let breadth be Bperimater = 2(L+B)but perimeter=82,therefore , 2(L+B) = 82L+B = 41therefore L = 41- B.area = L* Bbut area given = 400m2so, LB = 400B (41-B) = 400-B2 + 41B = 400-B2 + 41B - 400 = 0B2 - 41B +400 = 0(MIDLLE TERM FACTORISATION)B2 - (25B+16B) +400 = 0B2 - 25B -16B +400 = 0B(B -25) - 16(B - 25)= 0THEREFORE BREADTH AND LENGTH ARE EITHER25 AND 16 RESPECTIVELY OR 16 AND 25 RESPECTIVELY. B=16m or B=25m and L=16m or L=25m??