You are planning a rectangular dining pavilion. its length is three times its width x. you want a stone walkway that is 3 ft wide around the pavilion. you have enough stones to cover 396 ft^2 and want to use them all in the walkway. what should the dimensions of the pavilion be? how can you write a variable expression for the area of the walkway?

The dimensions of the pavilion are:

y=length= 45 ft.

x= width= 15 ft.

And the varable expression for the area of the walkaway is:

Step-by-step explanation:

1. Let be y= length and x= width of the dining pavilion.

2. Then we have that y=3x and the dining´s area is:

3. The walkway is 3ft wide around the pavilion, it means that its area will be:

Where is a variable expression for the area of the walkaway.

4. We have that the total area to cover for the stones is 396 ft^2 then matching:

[tex]396=36+24x\\396-36=24x\\360=24x\\x=\frac{360}{24}\\ x=15 ft (wide of the pavilion)\\ y=3x\\y=3*15\\y=45 ft.

And y=length of the pavilion

answer: the correct one is a

step-by-step explanation:

step-by-step explanation: