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 point)

1 answer

To find the length of the rectangle in Spencer's new scale drawing, we need to determine the scale factor. The scale factor is the ratio of the new length to the actual length.

In the original drawing, let's say the length of the rectangle is 10 inches and the width is 6 inches.

The actual length-to-width ratio is 10:6 or 5:3.

Since the new width is 1.5 inches, the new length can be calculated as:

New length = (5/3) * 1.5 = 2.5 inches

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