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777dan777 [17]
3 years ago
8

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)

<u>Rectangle A </u>

Length = x + 8,

Width  = x - 1

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

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

<u>Rectangle B</u>

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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