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A fence that is 50 m long and 1.8 m high is to be spray painted with two coats of paint 3. Calculate the total area that is to be painted. Give your answer in \( \mathrm{m}^{2} \).

Ask by Cummings Davies. in New Zealand
Dec 06,2024

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The total area to be painted is 180 \( \mathrm{m}^{2} \).

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Beyond the Answer

To calculate the total area to be painted, you need to consider both sides of the fence because it will be coated with two layers of paint. The area of a rectangle is given by the formula: \[ \text{Area} = \text{length} \times \text{height} \] For the fence: \[ \text{Area} = 50 \, \text{m} \times 1.8 \, \text{m} = 90 \, \text{m}^2 \] Since both sides of the fence will be painted, multiply the area by 2: \[ \text{Total area} = 90 \, \text{m}^2 \times 2 = 180 \, \text{m}^2 \] Now, because it's getting two coats of paint, you need to multiply the total area by 2 again: \[ \text{Total Area for Two Coats} = 180 \, \text{m}^2 \times 2 = 360 \, \text{m}^2 \] So, the total area that is to be painted is \( \mathbf{360 \, m^2} \).

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