The perimeter of a rectangle is 68ft the ratio of the length to the width iss 9: 8 what are the dimensions of the rectangle

Step-by-step explanation:

2 * L + 2 * W = 68  

2*L = 2* 9x = 9x + 9x  

2*W = 2*8x = 8x + 8x  

Since the perimeter is 68  

9x + 9x + 8x + 8x = 68

{3 + i, 3 - i, 3, -1}

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