Question

If the length of the square is increased by 2 and the width is decreased by 2, by how many units is the area of

the square bigger than the area of the new rectangle?​

Answer 1

4 units

Explanation:

Let x represent the length of the square

Area of the square = x^2

So, the dimension of the rectangle formed is:

length = x + 2

width = x - 2

Area of the rectangle = ( x + 2 ) * ( x - 2 )

solve the parenthesis

x^2 - 2x + 2x - 4

Area of the rectangle = x^2 - 4

subtract this area from that of the square

x^2 - ( x^2 - 4 )

=x^2 - x^2 + 4

= 4 units