Question

The breadth of rectangle is 3 less than the length if both length and breadth the reduced by 3 units the area of rectangle reduces by 176 square units find the dimensions of the original rectangle.

Hope U all answer answer it in a proper manner.

Sujeetkumarray answer it....

Answer 1

HEY THERE!!!

Question:-

The breadth of rectangle is 3 less than the length if both length and breadth the reduced by 3 units the area of rectangle reduces by 176 square units find the dimensions of the original rectangle.

Solution:-

Let to Be Length of Rectangle = x

•°• Area of Rectangle = Length ×Breadth

As per as Question:-

Breadth of rectangle is 3 less than the length;

=) x-3

Now,

if both length and breadth the reduced by 3 units;-

Length= x-3

Breadth= x-3-3

•°• Breadth of rectangle= x-6

According to the Question;-

the area of rectangle reduces by 176 square ;-.

•°• Area of Rectangle = Length ×Breadth

  Area of Rectangle= (x-3)(x-6)

 x(x-3) -176=x(x-6)-3(x-6)

x²-3x  -176=x²-6x-3x+18

x²-3x -176=x²-9x+18

 -3x+9x=18+176

6x=294

x=194/6

•°• x=97/3

Here,Length of Rectangle= 97/3 metres

Considering on Breadth of rectangle;-

Breadth= x-3

•°• Substitute the value of length in breadth Equation;-

Breadth=x-3

Breadth=97/3-3

Breadth=97/3-3/1

•°• Breadth= 97-9/3

Breadth=88/3 meters

Hence,Dimensions of the original rectangle=

Length of Rectangle=97/3 metres

Breadth of rectangle=88/3 metres

Thank you!!!

Answer 2

let its length be x
then it's breadth = x-3

area = x(x-3)

if it's length and breadth are reduced by 3

then length = x-3
and breadth = x-3-3
=x-6
_________________

then it's area = x-3(x-6)
= x^2-6x-3x+18
=x^2-9x+ 18 = x(x-3)- 176

as the new area is 176 less than the previous one as described in question.

${x}^{2} - 9x + 18 = {x}^{2} - 3x - 176$
${x}^{2} - {x}^{2} - 9x + 3x = - 176 - 18$
$- 6x = - 194$
$6x = 194$
x= 194÷6
= 97/3...
breadth= 97/3- 3
= 97-9/3= 88/3

but if area got reduced by 174 instead of 176 sq.units
then
$- 6x = - 174 - 18$
$- 6x = - 192$
$6x =1 92$
$x = \frac{192}{6} = 32$

length = 32
and breadth = 35 .....
i think it's best answer and correct also
I'm sure please mark it as brainlist.