The rectangle below has an area of 12 y square meters and a width of 3y3 meters. What is the length of the rectangle?
Length
3y3
12y
Length =
meters

4 + 5 7/9= 9 7/9

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 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13