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A rectangular picture is placed in a frame 2 inches wide.

Frame area- 152 square inches.

Length of frame is twice the width.

Calculate dimensions of picture.

Thanks.

"A rectangular picture is placed in a frame 2 inches thick."

L and W are the length and width of the frame, respectively.

area of picture and frame = LW inē

dimensions of picture: (L-4) inches by (W-4) inches

area of picture = (L-4)(W-4) = LW - 4W - 4L + 16 inē

"Frame area- 152 square inches."

LW - (LW - 4W - 4L + 16) = 152

4W + 4L = 168

W + L = 42

"Length of frame is twice the width."

L = 2W

substitution

W + (2W) = 42

W = 14

L = 2W = 28

The frame is 14 inches wide and 28 inches long.

The picture is 10 inches wide and 24 inches long.

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