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A photograph has a length that is 2 inches longer than its width. There is a 1-inch frame surrounding the photograph. Which expression represents the area of the entire photograph and frame combined?

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asuwafohjames

The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.

What is Area?

Area is the amount of space taken up by a plane shape.

To find an expression for the area of the entire photograph and the frame combined, we use the formula below.

Formula:

  • A = L×W............. Equation 1

Where:

  • A = Area of the photograph and the frame
  • L = Length of the photograph and the frame
  • W = Width of the photograph and the frame

From the question,

  • Let the width of the photograph be x,
  • The length of the photograph = (x+2) inches
  • L = (x+2)+1 = (x+3) inches
  • W = (x+1) inches

Substitute these values into equation 1

  • A = (x+3)(x+1)
  • A = x²+x+3x+3
  • A = x²+4x+3

Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.

Learn more about Area here: https://brainly.com/question/24487155

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