Brennan makes a scale drawing of a fort. The scale for the actual fort to the scale
drawing is 3 ft to 1 in. The dimensions of the fort are 21 ft by 16.5 ft. What are the
dimensions of the fort in the drawing? Show your work.
please help

Respuesta :

Answer:

The dimensions of the fort in the drawing is 7 in by 5.5 in

Step-by-step explanation:

A scale can be used to either increase or decrease the size of a given object.

From the question, Brennan used a scale of 3 feet to 1 inch.

scale = [tex]\frac{actual fort}{scale drawing}[/tex]

The dimensions of the fort are 21 ft by 16.5 ft. Thus, to determine the dimensions of the drawing;

[tex]\frac{3 ft}{1 in}[/tex] = [tex]\frac{21 ft}{y}[/tex]

y = [tex]\frac{21 ft *1 in}{3 ft}[/tex]

  = 7 in

Also,

[tex]\frac{3 ft}{1 in}[/tex] = [tex]\frac{16.5 ft}{z}[/tex]

z = [tex]\frac{16.5 ft*1 in}{3 ft}[/tex]

  = 5.5 in

Dimensions = y by z = 7 in by 5.5 in

Therefore, the dimensions of the fort in the drawing is 7 in by 5.5 in.