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The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters.
What expression represents the length of the rectangle below?
length=_____ meters.

The rectangle below has an area of x27x10square meters and a width of x 5 meters What expression represents the length of the rectangle below length meters class=

Respuesta :

iGreen
The area of a rectangle is:

[tex]\sf A=lw[/tex]

Plug in what we know:

[tex]\sf x^2-7x+10=l(x-5)[/tex]

Factor the left side:

[tex]\sf (x-2)(x-5)=l(x-5)[/tex]

Divide (x - 5) to both sides:

[tex]\sf l=\boxed{\sf x-2}[/tex]

So the length is x - 2 meters.
adioabiola

The expression which represents the length of the rectangle is; (x -2)

According to the question:

  • We are required to determine which express represents the length of the rectangle given.

Since the area of the rectangle, A is given as;

  • Area, A = x² -7x +10

  • And Width, w = x -5

  • A = l × w

  • w = A/l

  • w = (x² -7x +10)/(x-5)

w = (x-2) as obtained from polynomial long division

Read more on Area of rectangle:

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