Pregunta
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Planning to paint a rectangular mural An with an area of 60 square feet it has to be at least 4 feet high but no more than 5 feet high. The length and width have to be whole numbers. List all possible widths for the mural.

Ask by Boone Harmon. in the United States
Mar 13,2025

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The possible widths for the mural are 15 feet and 12 feet.

Solución

To find all possible widths for the mural, we need to consider the given constraints: 1. The area of the mural is 60 square feet. 2. The height of the mural is at least 4 feet but no more than 5 feet. 3. The length and width of the mural are whole numbers. Let's denote the width of the mural as \( w \) and the height as \( h \). The area of the mural is given by the formula: \[ \text{Area} = \text{Length} \times \text{Width} \] Given that the area is 60 square feet, we have: \[ 60 = w \times h \] Since the height is at least 4 feet but no more than 5 feet, we have: \[ 4 \leq h \leq 5 \] We need to find all possible values of \( w \) that satisfy the given constraints. Let's calculate the possible values of \( w \) for each possible value of \( h \) from 4 to 5. Calculate the value by following steps: - step0: Calculate: \(\frac{60}{4}\) - step1: Reduce the numbers: \(\frac{15}{1}\) - step2: Calculate: \(15\) Calculate or simplify the expression \( 60 / 5 \). Calculate the value by following steps: - step0: Calculate: \(\frac{60}{5}\) - step1: Reduce the numbers: \(\frac{12}{1}\) - step2: Calculate: \(12\) The possible values of \( w \) for each possible value of \( h \) from 4 to 5 are: - For \( h = 4 \), \( w = 15 \) - For \( h = 5 \), \( w = 12 \) Therefore, the possible widths for the mural are 15 feet and 12 feet.

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Beyond the Answer

To figure out the possible widths for your mural, let's start with the given area of 60 square feet and the height constraints. Since the height can either be 4 feet or 5 feet, we can calculate the corresponding widths. For a height of 4 feet: Width = Area ÷ Height = 60 ÷ 4 = 15 feet, so one possible width is 15 feet. For a height of 5 feet: Width = 60 ÷ 5 = 12 feet, resulting in another possible width of 12 feet. Thus, the possible whole number widths for the mural, given the height constraints, are 12 feet and 15 feet. If you want to explore more possibilities for other heights within your limits, you can also consider fractional values that can round to whole numbers but those won't work under the integer requirement.

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