Learn Before
Finding the Dimensions of a Rectangular Bedroom with Area Square Feet
Apply the geometry problem-solving strategy to find the dimensions of a rectangular bedroom when its area is square feet and the length is four feet more than the width. First, sketch the rectangle and let represent the width, making the length . Using the area formula for a rectangle, , substitute the known values to obtain . Distribute the to yield , and subtract from both sides to write the quadratic equation in standard form: . Factor the trinomial into and apply the Zero Product Property to find and . Because a physical width cannot be negative, discard . The width is feet, and the length is feet.
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Intermediate Algebra @ OpenStax
Ch.6 Factoring - Intermediate Algebra @ OpenStax
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Solving
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Solving by Factoring
Solving by Factoring
Solving by Factoring
Finding the Dimensions of a Rectangular Bedroom with Area Square Feet
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Finding the Zeros and Specific Heights for
Finding the Zeros and Specific Heights for
Finding the Zeros and Specific Heights for
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Learn After
You are assisting a property management firm in verifying the dimensions of a rectangular bedroom in a new housing development. The room's area is 117 square feet, and the length is known to be four feet more than the width (). Which quadratic equation in standard form correctly models this situation?
A real estate developer is calculating the dimensions of a rectangular bedroom for a property listing. The room has an area of square feet, and the length is known to be feet longer than the width (). To ensure the listing is accurate, match each mathematical component to its specific role in the calculation process.
An interior designer is calculating the dimensions of a rectangular bedroom to determine the amount of flooring required. The room has an area of 117 square feet, and the length is 4 feet more than the width (). Arrange the following steps in the correct order to solve for the room's dimensions using the geometry problem-solving strategy.
A property manager is verifying the dimensions of a rectangular bedroom in a building plan. The room has a total area of 117 square feet, and the length is known to be 4 feet more than the width. Based on these specifications, the width of the bedroom is ____ feet.
True or False: In the geometric problem-solving strategy for a room with an area of 117 square feet and a length of , the mathematical solution is discarded because the width of a physical object cannot be a negative value.