Answer:
Will not fit
Step-by-step explanation:
Given:-
- The actual room dimension, R = ( 20.5 x 25 ) ft^2
- The scale used : 1 in ------> 2ft
- The available dimension of paper, P = ( 8.5 x 11 ) in^2
Find:-
- Will her drawing fit on paper for which the dimensions are given?
Solution:-
- We can use direct proportions to determine the dimensions of scale drawing of the room. Using the scale and actual dimensions as follows:
in ft
Scale: 1 2
Actual: x 20.5
- The scaled length of the room (x) can be calculated using direct proportions:
x = (20.5 ft)*(1 in) / ( 2 ft)
x = 10.25 in
- in ft
Scale: 1 2
Actual: y 25
- The scaled width of the room (y) can be calculated using direct proportions:
y = (25 ft)*(1 in) / ( 2 ft)
y = 12.5 in
- The dimensions of the scaled drawing of the room are:
( 10.25 x 12.5 )
- The available dimensions of the paper:
( 8.5 x 11 )
- We can conclude that:
( 10.25 x 12.5 ) > ( 8.5 x 11 )
The scaled drawing would be larger than the available paper. So the it would not fit!
