Problema Solution
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 square ft and want to use them all in the walkway. what should the dimensions of the pavilion be?
Answer provided by our tutors
x is the width of the pavilion
3x is the length of the pavilion
the area of the walkway is 396 ft^2 or:
x*3x - (x - 2*3)(3x - 2*3) = 396
by solving we find:
x = 18 ft
click here to see the step by step solution of the equation:
3*18 = 48 ft
the dimensions of the pavilion should be: 18 ft the width and 48 ft the length.