The diagram shows a border that is 4 inches wide surrounding Annie's painting. Write an expression, in factored form, that represents the area of the border.
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Answer:
if my brain cell works, then (24x + 160) in
Step-by-step explanation:
20(3x + 8) - 12 x 3x = 24x + 160
Area of border is 24x + 160 inch²
Width = 3x inch
Length = 12 inch
Border size = 4 inch
Area of border
Full width = 3x + 4 + 4 = 3x + 8 inch
Full length = 12 + 4 + 4 = 20 inch
Area of border = [(3x + 8)(20)] - [(3x)(12)]
Area of border = [60x + 160] - [36x]
Area of border = 60x - 36x + 160
Area of border = 24x + 160 inch²
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