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Find the Area Problems

In this worksheet, students will find the area of similar shapes.

Worksheet Overview

Are monsters good at maths?

Not unless you Count Dracula.

 

The type of questions involving area scale factor can appear monstrous.

Honestly, they're not!

 

 

squaresquare

           4 cm                                                            8 cm

          Area 16 cm²                                     What is the area of this square?

 

1.  Find the scale factor of the enlargement  8 ÷ 4  =  Scale factor 2

2.  THIS DOES NOT MEAN THAT THE AREA IS TWICE AS BIG.

3.  Take the scale factor and square it 2² = 4

4. The area of the larger square is 4 times as big

5. 16 x 4 = 64 cm²

 

 

rectanglerectangle

             6  cm                                                      18 cm

  Area = 12 cm²                                        What is the area of this rectangle?

 

1.  Find the scale factor of the enlargement    18 ÷ 6  =  Scale factor 3

2.  THIS DOES NOT MEAN THAT THE AREA IS THREE TIMES AS BIG.

3.  Take the scale factor and square it 3² = 9

4. The area of the larger rectangle is 9 times as big

5. 12 x 9 = 108 cm²

 
Let us put what we know already into a table
 
Scale factor 2 Area scale factor 2² 4 times as big
Scale factor 3 Area Scale factor 3² 9 times as big
Scale factor 4    
Scale factor 5    

 

Can you spot the pattern and complete the rest of the table?
 
Scale factor 2 Area scale factor 2² 4 times as big
Scale factor 3 Area Scale factor 3² 9 times as big
Scale factor 4 Area scale factor 4² 16 times as big
Scale factor 5 Area scale factor 5² 25 times as big

 

This doesn't appear so monstrous after all does it? Over to you.

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