Given that a rectangle has a length of 5 2 x + 10 with a width of 5 2 x + 5, which expression represents the area of the rectangle?

Area of the rectangle = (2704x² + 780x + 150)

Step-by-step explanation:

A rectangle has been given with length and width. We have to calculate the expression for area of this rectangle.

Since area of the rectangle = Length × width

Length of the rectangle is given as (52x + 10) and width as (52x + 5)

Now area = (52x + 10).(52x + 5)

= 52x(52x + 5) + 10(52x + 5)

= (52x)(52x) + 5(52x) + 10(52x) + (10)(5)

= 2704x² + 15(52x) + 150

= (2704x² + 780x + 150)

Area of the rectangle will be represented by the expression (2704x² + 780x + 150)