Answer:
The length of the actual object is = 17.33ft or 17ft 4in
The width of the actual object is = 13.33ft or 13ft 4in
Step-by-step explanation:
A scale drawing basically refers to the drawing that displays an object with the actual sizes increased or reduced by a particular amount. For example, if we are required to draw a nine - storey building on paper, it may not be possible to find any paper that will be able to accommodate the actual size of the nine - storey building; Even if there is, it will be so inconvenient to carry around. What is done in most cases is to use a scale to reduce the actual size of the building while still retaining all the necessary details of the building on the drawing paper.
Now, since the scale used for the drawing of the model room is 3in : 8ft , it means that every 8 feet in the size or dimension of the actual drawing will be represented by 3 inches on the drawing paper.
For the length of the model room which is 6.5 inches, the true dimension of the actual object is:-
3 inches ---------- 8 feet
6.5 inches ---------- ? feet
= 6.5/3 × 8
= 52/3
= 17.33 feet (length of the actual object)
For the width of the model room which is 5 inches, the true dimension of the actual object is:
3 inches ------------ 8 feet
5 inches -------------? feet
5/3 × 8
= 40/3
= 13.33 feet (width of the actual object)
Since one foot is = 12 inches; 0.33 feet is =
0.33 × 12 = 4inches
Therefore, the length of the actual object is 17.33 feet or 17ft 4in
&
The width of the actual object is 13.33 feet or 13ft 4in
