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An 8-by-10-inch photograph was blown up into a poster. If the longer side of the poster is 55 inches long, how many inches long is the shorter side?PLSS ANSWERRRRR PLSSS

User Nery
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Answer: The shortest side of the poster is 44 inches

The the picture is 20 x 25 inches

Let the width of the picture = 20 inches

Let the length of the picture = 25 inches

When enlarged into a picture the longest side was 55 inches

To calculate the shortest side, we need to establish a proportion between the picture and the poster

The length of the poster = 55 inches

Let the width of the poster be x


\begin{gathered} (20)/(25)\text{ = }(x)/(55) \\ \text{Introduce cross multiplication} \\ x\cdot\text{ 25 = 20 x 55} \\ 25x\text{ = 1100} \\ \text{Divide both sides by 25} \\ (25x)/(25)\text{ = }(1100)/(25) \\ x\text{ = 44 inches} \\ \text{The shortest side of the poster is 44 inches} \end{gathered}

User Chadwick Wood
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