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?

Thanks in advance! :)

Guest Feb 24, 2018

#1**+1 **

Area of pavillion = x * 3x

Area of pavillion + walkway = (x+6) * (3x+6)

Area of walkway = (area of pavillion + walkway) - area of pavillion = 396 ft^2

(x+6)(3x+6) - (x*3x) = 396

3x^2 +24x +36 - 3x^2 = 396

24x = 360

x= 15

Pavillion = x * 3x = 15 x 45 ft dimensions

Area of walkway = 396 ft^2 (given)

ElectricPavlov
Feb 24, 2018

#1**+1 **

Best Answer

Area of pavillion = x * 3x

Area of pavillion + walkway = (x+6) * (3x+6)

Area of walkway = (area of pavillion + walkway) - area of pavillion = 396 ft^2

(x+6)(3x+6) - (x*3x) = 396

3x^2 +24x +36 - 3x^2 = 396

24x = 360

x= 15

Pavillion = x * 3x = 15 x 45 ft dimensions

Area of walkway = 396 ft^2 (given)

ElectricPavlov
Feb 24, 2018