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gabistock21
21.07.2019 •
Mathematics
Arectangular photograph is mounted on a poster and has a two inch border on each side. the poster itself is mounted on a frame whose sides are the same length as the sides of the poster. the frame cost $2 per inch and the cost of the frame was $160. if the area of the photograph is 231 inches squared. what are the dimensions of the frame?
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Ответ:
w: width of the photograph
l: length of the photograph
The cost of the box is:
2 * (2 * (w + 2)) + 2 * (2 * (l + 2)) = 160
The area is:
(w + 2) * (l + 2) = 231
Solving the system of equations we have:
w = 5 inches
l = 31 inches
Then, the dimensions of the frame are:
w + 2 = 7 inches
l + 2 = 33 inches
the dimensions of the frame are:
7 inches * 33 inches
Ответ: