Spencer draws a rectangle to represent the size of the city block where he lives. The rectangle is labeled in inches. Spencer decides he 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 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 the new scale drawing, we can use proportions.
Let the original length of the rectangle be x inches.
Let the original width of the rectangle be y inches.
The original length of the rectangle is x inches and the original width of the rectangle is y inches.
We are given that the width of the rectangle in the new scale drawing is 1.5 inches long.
Let the length of the rectangle in the new scale drawing be a inches.
Using proportions, we can set up the following equation:
x/y = a/1.5
Solving for a:
a = (x/y) * 1.5
Since x = 1 and y = 1.5,
a = (1/1.5) * 1.5
a = 1
Therefore, the length of the rectangle in Spencer's new scale drawing will be 1 inch.