Leah wraps the box shown with construction paper. What is the surface area of the pencil case?

48 might be

Step-by-step explanation:

i hope is right

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

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