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Jonathan is playing a game or a regular board that measures 60 centimeters long and 450 mm wide. which measurement is closest to the perimeter of the Jonathan's game board in meters?

User Eyal Ch
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1 Answer

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According to the problem, the length is 60 cm and the width is 450 mm.

Let's transform 450mm to cm. We know that 1 cm is equivalent to 10 mm. So,


450\operatorname{mm}*\frac{1\operatorname{cm}}{10\operatorname{mm}}=45\operatorname{cm}

Then, we use the perimeter formula for rectangles.


P=2(w+l)

Where w = 45 cm and l = 60 cm.


\begin{gathered} P=2(45\operatorname{cm}+60\operatorname{cm})=2(105cm) \\ P=210\operatorname{cm} \end{gathered}

The perimeter is 210 centimeters long.

However, we know that 1 meter is equivalent to 100 centimeters.


P=210\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}}=2.1m

Hence, the perimeter, in meters, is 2.1 meters long.

Option A is the answer.