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.

Answer: 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)