A rectangular barn has a length of \large 10x+20 and width of \large 2x-6. The area of the barn is \large 20x^2-20x-100. True or False?

True

Step-by-step explanation:

5+2x=a

asdasdsaadsaddsasds

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