Question

The walkway around its

perimeter have an area of 378 ft2
. Find the width of
the walkway if the garden is 12 ft. ide by 15 ft. l ng

Answer 1

Look the step

Explanation:

To find the width of the walkway, let's assume the width of the walkway is "w" feet.

Calculate the total area of the garden with the walkway:

Area of the larger rectangle (with walkway) = (12 + 2w) * (15 + 2w) square feet.

Calculate the area of just the garden (excluding the walkway):

Area of the garden (without walkway) = 12 * 15 square feet.

Calculate the area of the walkway by subtracting the garden's area from the total area:

Area of the walkway = Area of the larger rectangle - Area of the garden.

Given that the area of the walkway is 378 square feet, set up an equation:

Area of the walkway = 378 square feet.

Now, we can solve for "w":

(12 + 2w) * (15 + 2w) - (12 * 15) = 378.

Solve this quadratic equation for "w" to find the width of the walkway.