Marvin wants to purchase a rectangular rug. It has an area represented by the expression 4x^2+64x+256. what is the length and width. also what do the factors in the factored expressions represent

And , factors in the factored expressions represents length and width of rectangle .

Step-by-step explanation:

Here we have , Marvin wants to purchase a rectangular rug. It has an area represented by the expression 4x^2+64x+256. what is the length and width. We need to find what is the length and width. also what do the factors in the factored expressions represent . Let's find out:

We have expression of area as  , Let's factorize this

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We know that area of rectangle = , comparing this to above equation we get:

And , factors in the factored expressions represents length and width of rectangle .

Length = x + 8

Width = x + 8

Explanation:

Given:

4x² + 64x + 256 = 0

Dividing the equation by 4 we get:

x² + 16x + 64 = 0

x² + 8x + 8x + 64 = 0

x(x + 8) + 8 ( x + 8 ) = 0

(x + 8 ) (x + 8) = 0

Length = x + 8

Width = x + 8

The area of the rectangle is length X width. So, the factors of the equation represents length and width.

associative property hopes this ! : )

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq