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Zanzabum
3 years ago
5

The linear scale factor of two similar shapes is in ratio 3:4. If the area of the smaller shape is 72cm square, find the area of

the bigger shape.
Mathematics
2 answers:
PolarNik [594]3 years ago
7 0

Answer:

128 cm²

Step-by-step explanation:

Given the scale factor of 2 similar figures is a : b , then

ratio of areas = a² : b²

Here the scale factor = 3 : 4 , thus

ratio of areas = 3² : 4² = 9 : 16

let x be the area of the larger figure then by proportion

\frac{9}{72} = \frac{16}{x} ( cross- multiply )

9x = 1152 ( divide both sides by 9 (

x = 128

Thus area of larger figure is 128 cm²

matrenka [14]3 years ago
6 0

Answer:

Step-by-step explanation:linear scale:supplementary and adjacent

bigger shape= 180-72

=108

hope you find it helpful

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