Pls respond ... 30 points :)

B, 2x^2 - 4x + 8

Step-by-step explanation:

Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:

Length × Width = Area

Given these values, rearrange the formula to find the width:

Width = Area / Length

Then just substitute the values, and

simplify the expression:

Width = (4x^2 - 8x + 16) / 2

Width = 2x^2 - 4x + 8

addition

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4