  # Find the Area Problems

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

GCSE Subjects:   Maths

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

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

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  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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