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
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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.