Question

sean is designing a rectangular community garden with a walking path wrapping around it. he knows the total area of the garden and walking path has to be 396 square feet, and he plans for the garden to have an area of 192 square feet. let a represent the area of the walking path. which equation models the problem? a - 192 = 396 192 + a = 396 solve this equation to find the area of the walking path. square feet

Explanation:

Part 1: Choosing the Correct Equation

Step1: Analyze the Relationship

The total area (garden + path) is 396. The garden area is 192, and the path area is \(a\). So, garden area + path area = total area.

Step2: Form the Equation

Substituting the values, we get \(192 + a = 396\). The other equation \(a - 192 = 396\) would imply path area is larger than total, which is incorrect.

Step1: Start with the Equation

We have \(192 + a = 396\).

Step2: Isolate \(a\)

Subtract 192 from both sides: \(a = 396 - 192\).

Step3: Calculate the Result

\(396 - 192 = 204\).

Answer:

\(192 + a = 396\)

Part 2: Solving the Equation