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3 years ago

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

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

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

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

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

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

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

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