a rectangle picture measures 3 in. by 5 in. is surrounded by a frame wth uniform width x. Writw a quadratic function in standard form to show the combined area of the picture and frame.

Length = 2x+5 (Remember the length extends x inches to the left and right of the picture)

Width = 2x+3 (Remember the width extends x inches above and below the picture)

Area = Length x Width

So,

f(x) = (2x+5)(2x+3) = 4x^2 + 16x + 15

f(x) = 4x^2 + 16x + 15

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