Question

the lenghth of a rectangle is 4 cm more then its breadth. if the length is increased by 4 cm and breadth decreased by 2 cm. the area remains the same as that the original rectangle. find .

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

For 1st rectangle,

Let the breadth be x cm

By given condition : Length =Breadth + 4cm

Therefore, Length = x+4

Thus, by Formula of area of rectangle

Area of 1st rectangle = Length (Breadth)

=.x(x+4)............(1)

For second. Rectangle,

Length =x+4+4. (by condition)

Breath=x-2

Area of second rectangle =x+8(x-2).........(2)

It is given that areas of both rectangles are same ....(A)

From. (1),(2) and (A),

X(x+4)=x+8(x-2)

X^2+4x =x^2-2x+8x-16

X^2-x^2+4x+2x=8x -16

6x =8x -16

16=8x-6x

16=2x

X=16/2

X= 8

Therefore the value of x is 8