Question 1160125


 *[illustration garden_plot.png].
A rectangular garden is surrounded by a walk of uniform width.let it be x yards

 The area of the garden is 180 square yards.

the dimensions of the garden plus the walk are 16 yards by 24 yards 

length of garden = 16-2x
width of garden = 24-2x
Area of garden = L * W
(16-2x)(24-2x) =180
384-32x-48x+4x^2= 180
simplify
4x^2-80x +204=0
divide by 4
x^2-20x+51=0
x^2-17x-3x+51=0
x(x-17)-3(x-17) =0
(x-17)(x-3) =0
x=17 or 3
x cannot be 17

so x=3

Length 16-6= 10
24-6 =18 
Garden cannot have height . It has length and width.
Dimensions of garden = 10 & 18 yards