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Finding the Dimensions of a Rectangular Sign with Area Square Feet
Apply the geometry problem-solving strategy to find the dimensions of a rectangular sign when its area is square feet and the length is one foot more than the width. Let represent the width, making the length . Substitute these expressions into the area formula to obtain . Distribute to get , and subtract from both sides to rewrite the equation in standard form as . Factor the quadratic expression into and apply the Zero Product Property to find or . Because a physical dimension must be positive, discard . The width is feet, and the length is feet.
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Intermediate Algebra @ OpenStax
Ch.6 Factoring - Intermediate Algebra @ OpenStax
Algebra
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