Write and simplify an expression for the perimeter of the rectangle. side A=x+6 Side B=4x-5.

Thank you!

A rectangle has 2 pairs of congruent sides so 2(x+6)+2(4x-5)=2x+12+8x-10=10x+2

37

To find the perimeter of a rectangle, you need to add up all four sides. In this case, the given sides are A = x + 6 and B = 4x - 5.

The perimeter of a rectangle is given by the formula:

Perimeter = 2*(Side A + Side B)

Substituting the given sides into the formula:

Perimeter = 2*(x + 6 + 4x - 5)

To simplify this expression, start by distributing the 2:

Perimeter = 2*x + 2*6 + 2*4x - 2*5

Simplifying further:

Perimeter = 2x + 12 + 8x - 10

Combine like terms:

Perimeter = (2x + 8x) + (12 - 10)

Perimeter = 10x + 2

Therefore, the simplified expression for the perimeter of the rectangle is 10x + 2.