Mathematics
Mathematics, 03.12.2020 05:30, tonehasarathi

A rectangular picture, composed of a photograph surrounded by a wood frame, is being hung in the center of a 48 inch wall. The wood frame itself is 1 7/8 inches wide on all sides. although the length of the horizontal base of the frame is unknown, the area of the entire picture is 155 1/4 square inches, and the vertical height of the frame is 13 13 1/2 inches. Answer the following questions. Make sure to label all measurements.

Sketch a diagram to represent the rectangular picture. Include all given picture measurements on the diagram.
Calculate the length of the base of the frame. Show all your calculations. Note: The area of a rectangle is found by multiplying the length of its base by the length of its height. So, to find the length of its base, given its area and height, divide the area by the height.
Estimate the dimensions of the photograph showing inside the frame. Then, find the exact dimensions. Do the exact dimensions you found seem reasonable? Explain your reasoning in one or more complete sentences.
If the center of the picture frame is hung exactly in the center of the wall, how far will the edge of the picture frame be from each side of the wall? Show all your calculations.

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