Question

The perimeter of the rectangular field is
82cm. Taking x as its
breadth,
find the length in terms of x. Find
its dimensions of its area
is 400cm^2?​

Answer 1

Answer:

Step-by-step explanation:

let breadth be B

perimeter =2(L+B)

but perimeter = 82 ,

therefore , 2 (L+B) =82 L+B=-41

there fore L =41-B

but area given = 400 m 2

so , L*B =400

B*(41-B) =400

-B 2+41 B =400

-B 2 +41 B -400 = 0

B 2 - 41 B +400=0(MIDDLE TERM FACTORISATION)

B 2 - (25 B - 16 B)  +400=0

B 2 =25 B -16 B +400 = 0

B(B -25 ) - 16 ( B-25)

therefore breadth and length are either 25 and 16 respectively or 16 and 25 respectively