The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. Wha is the slope of the line that passes through the points?
A) 2
B) 3
C) 6
D) 9

2

to find the slope you get the rise which is the difference between the y coordinates over the run which is the difference between the x coordinates. so 6/3=2

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

what is the question? i am guessing you are looking for the area.

to find an area, you have to do length x width.

in this case, it would be 12 ft x 4 ft = 48 sq. ft