Length and Area in Scale Drawings Practice
Complete this assessment to review what you've learned. It will no
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 the new scale drawing, we need to determine the scale factor between the original drawing and the new drawing.
Original width: x inches
Original length: y inches
New width: 1.5 inches
New length: ?
The scale factor is the ratio of the new width to the original width:
Scale factor = 1.5 inches / x inches
Since the rectangle is a city block in which the width and length are likely to be close to each other, we can assume that the scale factor is the same for both dimensions. Therefore, the scale factor for the length is also 1.5 inches / x inches.
To find the length in the new scale drawing, we can use the scale factor:
New length = Scale factor * Original length
New length = 1.5 inches / x inches * y inches
New length = 1.5 * y / x inches
Therefore, the length of the rectangle in Spencer's new scale drawing will be 1.5 times the original length, or 1.5 * y / x inches.