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 determine the scale factor between the original rectangle and the new scale drawing.
The original width of the rectangle is given as the actual length, 1.5 inches, and the scaled width is given as 1 inch. To find the scale factor, we divide the scaled width by the actual width:
Scale factor = 1 / 1.5 = 0.6667
Now that we have the scale factor, we can find the length of the rectangle in the new scale drawing. Since the actual length is not provided, we can assign a variable to represent it. Let's use 'x' to represent the actual length.
Length in new scale drawing = scale factor * actual length
Length in new scale drawing = 0.6667 * x
Therefore, the length of the rectangle in Spencer's new scale drawing will be 0.6667 times the actual length.
wrong
I apologize for the mistake in my previous response. Let's correct it.
Since the original width of the rectangle is 1.5 inches and the scaled width in the new drawing is 1 inch, the scale factor can be found by dividing the scaled width by the original width:
Scale factor = 1 inch / 1.5 inches
Scale factor = 0.6667
To find the length of the rectangle in the new scale drawing, we need to multiply the scale factor by the original length of the rectangle. The original length is not given, so let's denote it as 'y':
Length in new scale drawing = 0.6667 * y
Thus, the length of the rectangle in Spencer's new scale drawing will be 0.6667 times the original length of the rectangle.
INCORECT
My apologies for the error. Let's solve this correctly:
Given that the original width of the rectangle is 1.5 inches and the scaled width is 1 inch, we can calculate the scale factor as:
Scale factor = scaled width / original width
Scale factor = 1 inch / 1.5 inches
Scale factor = 2/3
Now, to find the length of the rectangle in Spencer's new scale drawing, we need to multiply the scale factor by the original length of the rectangle. Let the original length be denoted as 'x'.
Length in new scale drawing = Scale factor * original length
Length in new scale drawing = (2/3) * x
Length in new scale drawing = 2x / 3
Therefore, the length of the rectangle in Spencer's new scale drawing will be 2/3 of the actual length.