The measure of the shorter side will be 17.75 cm, given the scale factor of 1/2.
The scale factor is a way to compare figures with similar appearances but differing scales or measurements. Consider two circles that resemble one another but may have different radii. The scaling factor indicates how much a figure has increased or decreased from its initial value.
In the question, we are given that Emily drew a scale drawing to represent her bedroom. The drawing is rectangular. The longer sides measure 42.5 centimeters and the shorter sides measure 35.5 centimeters. Emily decides she wants the drawing to be smaller. She will reduce it by a scale factor of 1/2.
We are asked to find the measure of the shorter side.
To find the measure, we multiply the actual length by the scale factor.
Thus, the measure of the shorter side = 35.5 * (1/2) cm = 17.75 cm.
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The provided question is incorrect. The correct question is:
"Emily drew a scale drawing to represent her bedroom. The drawing is rectangular. The longer sides measure 42.5 centimeters and the shorter sides measure 35.5 centimeters.
Emily decides she wants the drawing to be smaller. She will reduce it by a scale factor of 1/2.
What will be the measure of the shorter sides?
Select from the drop-down menu to correctly complete the statement.
The measure of the shorter sides will be
cm."
