A 27 -inch by 24-inch (width by length) picture is surrounded by a border of uniform width. The total area of the picture with the border around it is 868 in squared. What is the width of the border? Hint : Draw a diagram of the picture with the border around (a rectangle to represent the 27 -inch by 24-inch picture and a larger rectangle around it to represent the border) and list the inner dimensions (the dimensions of the picture only) and the outer dimensions (the dimensions of the picture with the border around it).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 39E: Kristine creates an open box by cutting congruent squares from the four corners of a square piece of...
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A 27 -inch by 24-inch (width by length) picture is surrounded by a border of uniform width. The total area of the picture with the border around it is 868 in squared.

What is the width of the border?

Hint : Draw a diagram of the picture with the border around (a rectangle to represent the 27 -inch by 24-inch picture and a larger rectangle around it to represent the border) and list the inner dimensions (the dimensions of the picture only) and the outer dimensions (the dimensions of the picture with the border around it).

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