Respuesta :
The dimensions of the rectangle = 6 ft
Geometry defined as:
Along with arithmetic, geometry is among the oldest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions. Geometer is the term used to describe a mathematician who specializes in geometry.
Why does geometry matter so much?
At a fundamental level, geometry is essential to understand because it lays the groundwork for learning more complex mathematical concepts. Raj Valli, the founder of Thinkster Math, notes that algebra and geometry frequently overlap. In science and math classes, it introduces crucial formulas like the Pythagorean theorem.
According to the given information:
length = 2w - 1
We know that the area:
Area = length * width
Area = 2w - 1 * width
A= 2w^2 -w = 21
2w^2 - w -21 = 0. Solve for w using quadratic formula.
[-b±√(b2 - 4ac)]/2a
[1± √((-1)^2 - 4*2*(-21))]/(2*2)
[1± √(1+168)]/4
w = 3.5 ft
length = 2w - 1
= 2*3.5 - 1
= 6 ft
The dimensions of the rectangle = 6 ft.
To know more about Pythagorean theorem visit:
https://brainly.com/question/14930619
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