A rectangular garden has a walkway around it. The area of the garden is 4(2.5x+3.5) The combined area of the garden and the walkway is 4.5(4x+6) Find the area of the walkway around the garden as the sum of two terms.

Area of the walkway: 4.5(4x+6)  - 4(2.5x+3.5)

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Area of the garden: 4(2.5x+3.5)  

Combined area of the garden and the walkway: 4.5(4x+6)

Area of the walkway = A

So, the combined area of the garden and the walkway is equal to sum of both areas:

4(2.5x+3.5)+ A = 4.5(4x+6)

Solving for A:

A = 4.5(4x+6) - 4(2.5x+3.5)

Area of the walkway: 4.5(4x+6) - 4(2.5x+3.5)

the answer is c. 23/3

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