.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 from the original drawing to the new drawing.
Let the original length of the rectangle be x inches.
Let the original width of the rectangle be y inches.
From the given information, we know that the width in the new scale drawing is 1.5 inches long, which means the scale factor for the width is:
1.5 / y
To find the length in the new scale drawing, we need to apply the same scale factor:
1.5 / y = new length / x
Substitute the value of the original width y (which is represented by x in this case):
1.5 / x = new length / x
1.5 = new length
Therefore, the length of the rectangle in Spencer's new scale drawing will be 1.5 inches.