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. width is labled 20 length is 12

5 answers

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

The original width of the rectangle is 20 inches, and Spencer wants the width in the new scale drawing to be 1.5 inches. This means the width is getting scaled down by a factor of 20/1.5 = 13.33.

To find the length in the new scale drawing, we need to scale down the original length by the same factor.
Original length: 12 inches
New length: 12 / 13.33 = 0.899625 inches

Therefore, the length of the rectangle in Spencer's new scale drawing will be approximately 0.899625 inches.
wrong
I'm sorry about that mistake. Let's correct it.

The original width of the rectangle is 20 inches, and Spencer wants the width in the new scale drawing to be 1.5 inches. This means the width is getting scaled down by a factor of 20/1.5 = 13.33.

To find the length in the new scale drawing, we need to scale down the original length by the same factor.
Original length: 12 inches
New length: 12 / 13.33 = 0.9 inches

Therefore, the length of the rectangle in Spencer's new scale drawing will be 0.9 inches.
wrong again
I apologize for the errors in my previous responses. Let's correct that.

In the new scale drawing, the width is 1.5 inches, and this is scaled down from an original width of 20 inches. Therefore, the scaling factor is 20/1.5 = 13.33.

To find the length of the rectangle in the new scale drawing, we need to scale down the original length of 12 inches by the same factor:
New length = 12 / 13.33 = 0.90009 inches

Therefore, the length of the rectangle in Spencer's new scale drawing will be 0.90009 inches.