Question

The length of a rectangle is 5 cm more than its breadth. if the length is decreased by 3 cm and breadth is increased by 2 cm then area of new rectangle is same as the area of the original rectangle .find the dimensions of the original rectangle. ​

Answer 1

Answer:

$area \: of \: rectangle = l \times b$

Step-by-step explanation:

Let breadth be x.

In original rectangle:

b=x, l=5+x.

Area=x(x+5).

In new rectangle:

b=x+2, l=5+x-3=x+2.

Area=(x+2)(x+2)=(x+2)²=x²+2²+4x=x²+4+4x.

Area of original rectangle=Area of new rectangle.

x²+5x=x²+4+4x

x²+5x-x²-4x=4.

x=4.

Therefore, length and breadth of original rectangle are 9cm and 4cm.

Answer 2

Answer:

answer attached in photo