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|