4. If one side of a square is decreased by 2 manthe other is increased

1.	4. If one side of a square is decreased by 2 manthe other is increased by 1 m, a rectangle willbe formed whose area is 9 sq. m less than thearea of the square. Find the side of the square.
Answer» Let the side of square be x Area of square = x² By reducing a side by 2m the side becomes x-2 by increasing the other side by 1m side becomes =x+1 The area of rectangle = (x-2) (x+1) x²= (x-2) (x+1) + 9 x²= x²+x-2x -2 +9 x²-x2²+x = 7 x=7 Therefore the side of square = 7m but why did you add 9 over there??? please reply please reply Krupa Gopal please answer

4. If one side of a square is decreased by 2 manthe other is increased by 1 m, a rectangle willbe formed whose area is 9 sq. m less than thearea of the square. Find the side of the square.

Answer»

Let the side of square be x

Area of square = x²

By reducing a side by 2m the side becomes x-2

by increasing the other side by 1m side becomes =x+1

The area of rectangle = (x-2) (x+1)

x²= (x-2) (x+1) + 9

x²= x²+x-2x -2 +9

x²-x2²+x = 7

x=7

Therefore the side of square = 7m

but why did you add 9 over there???

please reply

Krupa Gopal please answer