Actually rectangle is 20 in length and 12 inch height; 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 form.
To find the length of the rectangle in Spencer's new scale drawing, we need to make a proportional comparison of the original rectangle to the new scale drawing.
Original rectangle:
Length = 20 inches
Width = 12 inches
New scale drawing:
Width = 1.5 inches
Let x represent the length of the rectangle in Spencer's new scale drawing.
We can set up a proportion:
20 / 1.5 = x / 12
Solving for x:
20 * 12 = 1.5 * x
240 = 1.5x
x = 160
Therefore, the length of the rectangle in Spencer's new scale drawing is 16 inches.