The length of a rectangle is three times its width. the perimeter of the rectangle is 100 inches. what are the dimensions of the rectangle?

Step-by-step explanation:

Givens:

So, to find the dimensions of the rectangle, that is, the length and width, we have to replace the first equation into the second one:

The length can be found using the first expression:

Therefore, the dimensions are 12.5 inches width and 37.5 inches length.

step-by-step explanation:

their are no angles. sorry cant .

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