If a 20 in. by 30 in. picture has a wooden frame "x" in. wide surrounding it, which equation can be used to find the total area of the picture and frame?

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If a 20 in. by 30 in. picture has a wooden frame "x" in. wide surrounding it, which equation can be used to find the total area of the picture and frame?

4x^2+100x+600=A

To find the total area of the picture and frame, you will need to add the area of the picture and the area of the frame.

The area of a rectangle can be found by multiplying its length by its width.

The length of the picture is given as 30 inches, and the width of the picture is given as 20 inches. So, the area of the picture is 30 inches multiplied by 20 inches, which gives us 600 square inches.

Now, let's consider the frame. The frame surrounds the picture, adding an extra "x" inches to both the length and width of the picture.

So, the total length of the frame and picture would be (30 + 2x) inches, and the total width would be (20 + 2x) inches.

To find the area of the frame, we can subtract the area of the picture from the area of the frame and picture combined.

The area of the frame would be [(30 + 2x) inches * (20 + 2x) inches] - 600 square inches.

Therefore, the equation to find the total area of the picture and frame is:

[(30 + 2x) inches * (20 + 2x) inches] - 600 square inches.