Length and Area in Scale Drawings Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
A rectangle shows a length measuring 20 inches and width measuring 12 inches.
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.
(1 point)
To find the length in the new scale drawing, we need to calculate the scale factor first.
Original width: 12 inches
New width: 1.5 inches
Scale factor = New width / Original width
Scale factor = 1.5 / 12
Scale factor = 0.125
Now, to find the length in the new scale drawing:
New length = Original length x Scale factor
New length = 20 x 0.125
New length = 2.5
Therefore, the length of the rectangle in Spencer's new scale drawing will be 2.5 inches.