Spencer draws a rectangle to represent the size of the city block where he lives. The rectangle is labeled in inches. Spencer decides he wants to make a smaller scale drawing of the rectangle in which the width is just 1.5 inches long. What will be the length of the rectangle in Spencer's new scale drawing? Write your answer in decimal
To find the length of the rectangle in Spencer's new scale drawing, we need to determine the scale factor by dividing the length of the original rectangle by the length in the new scale drawing.
Let's say the original length of the rectangle is L inches.
The scale factor is L / 1.5.
Since the width of the new scale drawing is 1.5 inches, the length in the new scale drawing would be L / (L / 1.5).
We can simplify this expression:
L / (L / 1.5) = 1.5.
Therefore, the length of the rectangle in Spencer's new scale drawing is 1.5 inches.