Math  /  Algebra

QuestionSolving a word problem using a quadratic equation with rational roots
The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 65ft265 \mathrm{ft}^{2}. Find the dimensions of the rectangle.
Length : \square ft
Width : \square ft

Studdy Solution
Verify the dimensions satisfy the area condition:
Area = l×w=10×6.5=65ft2 l \times w = 10 \times 6.5 = 65 \, \text{ft}^2
The dimensions are verified.
The dimensions of the rectangle are:
Length: 10ft 10 \, \text{ft}
Width: 6.5ft 6.5 \, \text{ft}

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