Question

The following table shows the length and width of two rectangles:

Length Width
Rectangle A x + 8 x − 1
Rectangle B 4x + 5 3x − 2

Which expression is the result of the perimeter of rectangle B minus the perimeter of rectangle A?

Answer 1

Answer:

10x - 8 or 2( 5x - 4)

Step-by-step explanation:

Perimeter of a rectangle = 2( Length + Width)

Rectangle A

Length = x + 8,

Width  = x - 1

$Perimeter_A = 2((x + 8) + ( x - 1))$

                 $= 2(x + 8 + x - 1) \\\\= 2(2x + 7)\\\\=4x + 14$

Rectangle B

Length = 4x + 5

Width = 3x - 2

$Perimeter _B= 2((4x + 5) + (3x-2))$

                 $=2(4x + 5 + 3x - 2)\\\\=2(7x + 3)\\\\=14x + 6$

$Perimeter_B - Perimeter_A = (14x +6)-(4x + 14)$

                                       $=14x + 6 - 4x - 14\\\\=10x -8\\\\or \\\\=2(5x - 4)$