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Find the Area of Similar Shapes

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

Worksheet Overview

Are monsters good at maths?

Not unless you Count Dracula!

 

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     This does not mean that the area is twice as big!!

2.  Take the scale factor and square it to find the area scale factor:  2² = 4

3. The area of the larger square is 4 times as big: 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    This does not mean that the area is 3 times as large.

2.  Take the scale factor and square it: 3² = 9

3. The area of the larger rectangle is 9 times as big:  12 x 9 = 108 cm²

 

Can you spot the pattern when you see it in the form of a table?

 

Study the table below and then move on to the questions.

 
 
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
 

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