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Area, SM-Bank 075

A square fridge magnet has an area of 900 square millimetres.

What is the area of the fridge magnet in square centimetres?  (2 marks)

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\(9\ \text{cm}^2\)

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\(\text{Strategy 1 (convert square millimetres):}\)

\(\text{1 cm}^{2}\ = 10\ \text{mm}\ \times 10\ \text{mm}\ = 100\ \text{mm}^{2} \)

\(\text{Side length}\ =\sqrt{900}\ = 30\ \text{mm}\)

\(\text{Area} =30^2 =900\ \text{mm}^2 = \dfrac{900}{100} = 9\ \text{cm}^2 \)
 

\(\text{Strategy 2 (convert side lengths):}\)

\(\text{Side length}\ =\sqrt{900}\ =30\ \text{mm}= \dfrac{30}{10} = 3\ \text{cm}\)

\(\text{Area} =3^2 =9\ \text{cm}^2\)

Filed Under: Unit conversion Tagged With: num-title-ct-core

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