An engineer designed a closed rectangular plastic box to protect electronic components when submerged underwater. the box is created from 100 square centimeters of plastic. the height of the box is 4 cm less than the width.. what are the dimensions of the box (length, width, height) and what is the maximum volume of the box

34

step-by-step explanation:

27

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

the answer is b.

step-by-step explanation: