  # Find the Area of Similar Shapes

In this worksheet, students will find the area of similar shapes. Key stage:  KS 4

Year:  GCSE

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Popular topics:   Area worksheets, Geometry worksheets

Difficulty level:   #### 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!  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  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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