Question

length of a rectangle is 6 CM more than its width. If its length and breadth each is decreased by 3 cm, the area of new rectangle is decreased by 36 square cm. Find the original length and breadth of the original rectangle.​

Answer 1

Answer: length=10.5cm , breadth=4.5cm

Step-by-step explanation:

Let the breadth of the rectangle be x cm.

So, breadth = (x+6)cm.

Original area = A (say)

{Area of rectangle = l×b}

x × (x+6) = A

$x^{2}+6x=A$____(1)

Now, according to the question;

(x-3) × ({x+6)-3} = A-36

(x-3) × (x+3) = A-36

$x^{2}-9=A-36$

$x^{2}-9+36=A$

$x^{2}+27=A$

Putting A's value from eq(1),

$x^{2}+27=x^{2}+6x\\\\6x=27\\\\x=\frac{27}{6} \\\\x=4.5$

Hence, original breadth of the rectangle = 4.5 cm

Length = (x+6)= 4.5+6= 10.5cm

Hope it helps!