The diagram shows two shapes that are mathematically similar. The smaller shape has area $$\(52.5 \mathrm{~cm}^{2}\)$$ and the larger shape has area $$\(134.4 \mathrm{~cm}^{2}\)$$. Calculate the value of $$\(m\)$$. $$\[ m=.................. \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s20_qp_23 Year:2020 Question No:17

Answer:

5

Knowledge points:

E1.3 Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers.
E4.4.1 Calculate lengths of similar figures.
E4.4.2 Use the relationships between areas of similar triangles, with corresponding results for similar figures and extension to volumes and surface areas of similar solids.

Solution:

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