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The required length of the diagonal of rectangle is a[tex]\sqrt{5}[/tex] .

let the width of rectangle =  a
Length of the rectangle is twice of its width.

length  = 2a

What is a rectangle?

The rectangle is 4 sided geometric shapes whose opposites are equal in lengths and all angles are about 90°.

The required length of the diagonal

=[tex]\sqrt{length^2 + width^2}[/tex]

= [tex]\sqrt{(2a)^2+a^2}[/tex]

=√5a²

=a√5

Thus, the  required length of the diagonal of rectangle is a[tex]\sqrt{5}[/tex]

learn more about rectangles here:

brainly.com/question/15019502

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