Ns. Higher Order Thinking the length of a rectangle is twice the width. The area of the rectangle is 90 square units. Note

that you can divide the rectangle into two squares

a. Which irrational number represents the length of each

side of the squares?

b. Estimate the length and width of the rectangle.

it is c, trust i got your back lol

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

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