Question

The length of Rectangle is 6cm more than its breadth.its area is 1216cm² find It's length

Answer 1

Answer:

Breadth is 32 cm

Step-by-step explanation:

Given,

l = b + 6

Area of rectangle = length x breadth

1216 $cm^{2}$ = (b + 6) x b

              = $b ^{2}$ +  6 b

$b^{2}$ - 6 b + 1216 = 0

By factorization

$b^{2}$ + 32 b - 38 b + 1216 = 0

b( b + 38 ) - 32 ( b + 38  ) = 0

b = - 38 or b = 32

So, b = 32  [ Length can't be negative number ]

Now, Length is 38 cm and Breadth is 32 cm

Verification:

Area = l x b

area = 38 x 32 = 1216 $cm^{2}$