A picture frame is 18 inches long and 8 inches tall. It is 2 inches wide on all 4 side. What is the area of the picture frame?

To find the area of the picture frame, we need to subtract the area of the inner rectangle (the picture) from the area of the outer rectangle (the frame).

Step 1: Calculate the area of the outer rectangle.
The length of the outer rectangle is the length of the picture frame plus twice the width of the frame on each side.
Length of outer rectangle = length of picture frame + 2 * width of frame
Length of outer rectangle = 18 inches + 2 * 2 inches = 18 inches + 4 inches = 22 inches

Similarly, calculate the height of the outer rectangle.
Height of outer rectangle = height of picture frame + 2 * width of frame
Height of outer rectangle = 8 inches + 2 * 2 inches = 8 inches + 4 inches = 12 inches

The area of the outer rectangle is given by:
Area of outer rectangle = length of outer rectangle * height of outer rectangle
Area of outer rectangle = 22 inches * 12 inches = 264 square inches

Step 2: Calculate the area of the inner rectangle.
The length of the inner rectangle is the length of the picture frame minus twice the width of the frame on each side.
Length of inner rectangle = length of picture frame - 2 * width of frame
Length of inner rectangle = 18 inches - 2 * 2 inches = 18 inches - 4 inches = 14 inches

Similarly, calculate the height of the inner rectangle.
Height of inner rectangle = height of picture frame - 2 * width of frame
Height of inner rectangle = 8 inches - 2 * 2 inches = 8 inches - 4 inches = 4 inches

The area of the inner rectangle is given by:
Area of inner rectangle = length of inner rectangle * height of inner rectangle
Area of inner rectangle = 14 inches * 4 inches = 56 square inches

Step 3: Calculate the area of the picture frame.
Area of picture frame = Area of outer rectangle - Area of inner rectangle
Area of picture frame = 264 square inches - 56 square inches = 208 square inches

Therefore, the area of the picture frame is 208 square inches.

To find the area of the picture frame, we need to subtract the area of the inner rectangle (representing the picture) from the area of the outer rectangle (representing the frame).

The dimensions of the inner rectangle can be calculated by subtracting twice the width (since there are two sides) from the original dimensions of the frame:

Length of inner rectangle = Length of frame - (2 * Width)
Width of inner rectangle = Width of frame - (2 * Width)

Given:
Length of frame = 18 inches
Width of frame = 8 inches
Width of inner rectangle = 2 inches

Length of inner rectangle = 18 inches - (2 * 2 inches) = 14 inches
Width of inner rectangle = 8 inches - (2 * 2 inches) = 4 inches

Now, we can calculate the area of the frame:
Area of outer rectangle = Length of frame * Width of frame
Area of inner rectangle = Length of inner rectangle * Width of inner rectangle

Area of picture frame = Area of outer rectangle - Area of inner rectangle

Area of picture frame = (18 inches * 8 inches) - (14 inches * 4 inches)
Area of picture frame = 144 square inches - 56 square inches
Area of picture frame = 88 square inches

Therefore, the area of the picture frame is 88 square inches.

total area = 18*8 = 144

picture area = 14*4 = 56
so, just subtract to get the frame only

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