Question

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

Answer 1

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

as per figure,

dimension are as follows,

Length =
`( 5 + 2x)`, Breadth =
`(6 + 2x)`

∴ Area = Length x Breadth =
`(5+2x)` x
`(6+2x)`

So we get equation as,

`4x^(2) +10x+12x+30` =
`4x^(2) +22x+30`

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