Jenna measured a swimming pool and made a scale drawing. The pool is 20centimeters long in the drawing. The actual pool is 40meters long. What scale did Jenna use for the drawing?1centimeter:____meters
Q. Jenna measured a swimming pool and made a scale drawing. The pool is 20centimeters long in the drawing. The actual pool is 40meters long. What scale did Jenna use for the drawing?1centimeter:____meters
Identify Measurements: Identify the given measurements.Jenna's scale drawing length of the pool = 20 centimetersActual length of the pool = 40 metersWe need to find the scale in the form of 1 centimeter : __ meters.
Set Up Ratio: Set up the ratio of the drawing length to the actual length.Ratio = (Drawing length)/(Actual length)Ratio = (20 centimeters)/(40 meters)Since 1 meter=100 centimeters, we need to convert meters to centimeters to have the same units.Ratio = (20 centimeters)/(40 meters×100 centimeters/meter)
Perform Calculation: Perform the calculation to find the scale.Ratio=4000 centimeters20 centimeters Now, simplify the ratio by dividing both the numerator and the denominator by 20. Ratio=4000/20 centimeters20/20 centimetersRatio=1 centimeter/200 centimeters Since we want the scale in terms of meters, we convert 200 centimeters back to meters. Ratio=1 centimeter/(200 centimeters×1 meter/100 centimeters)
Simplify Ratio: Simplify the ratio to find the scale.Ratio = 1 centimeter / 2 metersSo, the scale Jenna used for the drawing is 1 centimeter : 2 meters.