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A rectangular garden has a walkway around it. The area of the garden is 6​(3.5x+1.5​). The combined area of the garden and the walkway is 7.5​(6x+5​). Find the area of the walkway around the garden as the sum of two terms.

Respuesta :

elcharly64

Answer:

[tex]A_w=24x+28.5[/tex]

Step-by-step explanation:

The rectangular garden is surrounded by a walkway.

The combined area of both is 7.5(6x+5) and the area of the garden alone is 6(3.5x+1.5).

The area of the walkway (Aw) around the garden is the result of subtracting the total area minus the inner area:

[tex]A_w=7.5(6x+5) -(6(3.5x+1.5))[/tex]

Removing parentheses:

[tex]A_w=45x+37.5 -21x-9[/tex]

Simplifying:

[tex]\mathbf{A_w=24x+28.5}[/tex]

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