Question

Which of these polynomials could be used to represent the area of the garden?
(posting image)
a) 8x+3
b) 4x^2-3x+9/16
c) 4x^2+3x+9/16
d) 16x^2+3x+9/64

Answer 1

were you told the garden is a square??

Answer 2

yes, a square garden has the dimensions shown (refer to drawing)

Answer 3

\[\large A=L^2\]
A=Area of a square
L=Length of one of the sides of the square

Answer 4

and in this case your L=2x+3/4
plug that into the formula..

Answer 5

so,
A=2x+3/4^2

Answer 6

correct?

Answer 7

yes..
\[\Large A=(2x+\frac{ 3 }{ 4 })^2\]

Answer 8

to expand this you would have to know the shortcut to be fast:
\[\LARGE (a+b)^2=a^2+2ab+ b^2\]

Answer 9

its C

Answer 10

applying that to what you have:
\[\LARGE (2x)^2+2(2x)(\frac{ 3 }{ 4 })+(\frac{ 3 }{ 4 })^2\]

Answer 11

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