SOLUTION: A rectangular picture measuring 4 in. by 10 in. is surrounded by a frame with uniform width x. Write a quadratic function in standard form to show the combined area of the picture

Question 637359: A rectangular picture measuring 4 in. by 10 in. is surrounded by a frame with uniform width x. Write a quadratic function in standard form to show the combined area of the picture and frame.
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Since the frame is uniform around the picture, you have to add the distance of the frame to dimensions of the picture.
The 4in length will now become: X + 4 + X or 2x + 4.
The 10in width will now be: X + 10 + X or 2X + 10
Area is found by multiplying the length by the width.
A = L * W
In our case L = 2X + 4
And W = 2X + 10
A = (2X + 4) * (2X + 10)
Now simplify the equation by multiplying through.
A = 4X^2 + 20X + 8X + 40
Combine like terms
A = 4X^2 + 28X + 40
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