A rectangular window is 4x inches wide and 8x inches long. What is an expression for the distance from one corner of the window to the opposite corner? Give your answer as a simplified radical.

Step-by-step explanation:

Pythagorean theorem

a² + b² = c²          a = 4x     b=8x

c = √(a² + b²)

c =√((4x)² + (8x)²)

  = √(16x² + 64x²)

  = √80x²

  = √(16×5)x²

  = 4x√5

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet