You are designing a rectangular flower bed that you will border using brick paverst. the width of the border aaround the bed will be th same on every side as shown

a) Polynomial equation that represents total area can be written as,

as per figure,

dimension are as follows,

Length = ,  Breadth =

∴ Area = Length x Breadth = x

So we get equation as,

 =  

b) Total area of flower bed when width of border is 1.5 feet

width of border is value of x

∴ x = 1.5 feet

by substituting value of x in equation we get,

Total area = 9 + 33 + 30 = 72 feet

not sure but it may be b, as i said i'm not sure.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)