The diagram represents a flower border that is 3 feet wide surrounding a rectangular sitting area. Write an expression in factored form that represents the area of the flower border.
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The area of the sitting area:
A ( S A ) = Length x Width = 3 x * 5 = 15 x
The area of the sitting area and the border together:
A ( S A + B ) = ( 3 x + 6 ) * 11 = 33 x + 66
The area of the flower border:
33 x + 66 - 15 x = 18 x + 66 = 6 ( 3 x + 11 ) - in factored form.
Answer: 6 ( 3 x + 11 )
A ( S A ) = Length x Width = 3 x * 5 = 15 x
The area of the sitting area and the border together:
A ( S A + B ) = ( 3 x + 6 ) * 11 = 33 x + 66
The area of the flower border:
33 x + 66 - 15 x = 18 x + 66 = 6 ( 3 x + 11 ) - in factored form.
Answer: 6 ( 3 x + 11 )
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