A rectangular sheet of paper 8.5 inches by 11 inches is folded
and then taped so that one pair of opposite vertices coincide.
What is the number of inches in the perimeter of the resulting
pentagon? Express your answer as a decimal to the nearest
tenth.
32.2 is the correct answer.
You got it wrong.
32.2 is right
Take a piece of paper and draw a picture. This should help. Also, it involves Pythagorean Theorem.
I think Anonymous wants it in simplest radical form
Nvm sorry about that, my stupid side of my brain said that.
Actually take a sheet of paper and fold it joining opposite vertices creasing the fold.
Unfold it and mark the crease with a pencil.
From the other two opposite vertices draw parallel lines to the creased line. Notice you have two congruent parallelograms.
The length of the crease is √(8.5^2+8.5^2) = appr 12.0208
In each of the two parallelograms, let the short side be x
then 2x + 8.5 = 11
2x = 2.5
Now fold the paper back to show the pentagon, then add up the sides:
I see 12.0208 + 2x + 2(8.5)
= 12.0208 + 2.5 + 17
= 31.5208