You are drawing a map of your school and want to make
sure all the measurements are accurate. You decide to use a
scale of 1 cm = 3 feet. In your drawing, the main hallway
ends up being 16 cm long.
The drawing is a little too big so you decide to change the
scale to 1 cm = 4 feet.
Keeping the length in feet the same, how many centimeters
long should the main hallymay be in your new drawing?
Type your answer here.

the main hallway should be 12cm in the new drawing

Step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3