Architects create drawings to model the buildings that will eventually get built. these drawings are
done in a program called cad and are always created to scale. one particular drawing is created with a
scale of 3/8 in = 1ft.
a. if a certain wall is 8 feet tall, write a proportion to solve for the inches this wall would
represent on an architectural drawing.
b. solve the proportion in part (a).
c. the length of a room is drawn as 6.75 inches. write a proportion to solve the actual length in
feet of the room.
d. solve the proportion in part (c).

a)

b) Reduced drawing size = 3 in

c)

d) actual length of the room: 18 ft

Step-by-step explanation:

The proportion that CAD creates is given by:

Then:

a) if a wall is 8 ft tall, the proportion gives:

b) to solve this proportion for the reduced drawing size, we cross multiply and then isolate the unknown on one side by dividing both sides by "1 ft":

c) If the drawing shows a room with length 6.75 in, we use the proportion equation again, replacing now the "reduced drawing" quantity with 6.75 in, and getting ready to solve for the unknown "actual size":

d) To solve for the unknown, since it is already in the numerator, we just need to multiply both sides of the equal sign by 6.75 in:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.