20 in.

12 in.
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.

1 answer

To find the length of the rectangle in Spencer's new scale drawing, we can use proportions.

The original length of the rectangle is 20 inches and the original width is 12 inches. Let x be the length of the rectangle in Spencer's new scale drawing.

Thus, we can set up the proportion:

20 inches / 12 inches = x inches / 1.5 inches

Solving for x:

x = (20 inches * 1.5 inches) / 12 inches
x = 30 inches / 12 inches
x = 2.5 inches

Therefore, the length of the rectangle in Spencer's new scale drawing will be 2.5 inches.