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Area of rectangle 20 cm2. Length and width enlarged by scale factor 3. What is the area of the enlarged rectangle

 Mar 20, 2015

Best Answer 

 #1
avatar+1006 
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The area will be 180 cm^2

 

Because you're changing both length and width, you're making each side 3x bigger than it originally was. We can then take the scale to the width (3) and the scale to the length (3) and multiply those together.

 

(20 cm^2)*(3*3) = 20*9 = 180

 

To double-check:

 

4*5 = 20 ---> (4*3)*(5*3) = 12*15 = 180 

2*10 = 20 ---> (2*3)*(10*3) = 6*30 = 180 

 Mar 20, 2015
 #1
avatar+1006 
+5
Best Answer

The area will be 180 cm^2

 

Because you're changing both length and width, you're making each side 3x bigger than it originally was. We can then take the scale to the width (3) and the scale to the length (3) and multiply those together.

 

(20 cm^2)*(3*3) = 20*9 = 180

 

To double-check:

 

4*5 = 20 ---> (4*3)*(5*3) = 12*15 = 180 

2*10 = 20 ---> (2*3)*(10*3) = 6*30 = 180 

GoldenLeaf Mar 20, 2015

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