Question

The length of a rectangal is greater than the breadth by 3cm. If the length is increased by 9cm and the breadth is reduced by 5cm the area remains the same. Find the dimensions of the rectangle

Answer 1

Solution :-

Let the breadth of rectangle = x

Length of rectangle = x + 3

Area of Rectangle = Length × Breadth

= x (x + 3)

= x² + 3x

According To Question :-

(x + 3 + 9) × (x - 5) = x² + 3x

=) (x + 12) × (x - 5) = x² + 3x

=) x² - 5x + 12x - 60 = x² + 3x

=) x² + 7x - 60 = x² + 3x

=) 7x - 3x = x² - x² + 60

=) 4x = 60

=) x = 60/4

x = 15

So, the breadth is 15 m.

Length = 15 + 3 = 18 m.

Hence,

The Length of rectangle is 15 m.

The breadth of rectangle is 18 m.

Answer 2

Answer:

breath =b

length =b+3

Area=b^2+3b

If length =b+3+9=b+12

breath=b-5

Area=b+12×b-5=b^2-5b+12b-60=b^2+7b-60

b^2+7b-60=b^2+3b

b^2+7b-b^2-3b=60

4b=60

b=15

length =18cm

breath=15cm