Question

Tim is using proportions to make a scale model of the front face of his school  building. He uses small building bricks that are __12 inch tall and 1 inch wide. The  front of Tim’s school is 24 feet tall and 50 feet wide.   Tim made a scale drawing of his model on a sheet of drawing paper. The  sizes of paper available to Tim were 9 in. × 12 in., 12 in. × 16 in., and   15 in. × 20 in. If Tim’s drawing of the school has a height of 8 inches,   which paper size would he have used so that the entire drawing was   shown, but left the least amount of empty space on the page? Explain. 

Answer 1

The paper sizes he has for his drawing are the following sizes

$\begin{gathered} 9\text{inch}\times12inch \\ 12inch\times16inch \\ 15inch\times20inch \end{gathered}$

His drawing has a height of 8inches. Therefore, the drawing paper that can contain the drawing and still have the least amount of empty space is 9 inch by 12 inch. Since we only know the height of tim's drawing of the school , we can use a drawing paper above the required height of the tim's drawing. The