Answer:
a). Scale: 1 inch:0.4 feet
b). actual measurement=24 feet
Step-by-step explanation:
a).
Step 1
We know that;
1 foot=12 inch
Step 2
Convert 36 feet to inches as follows
If 1 foot=12 inches, then 36 feet converted to inches will be;
(36×12)=432 inches
actual measurement=432 inches
Step 3
We can express the relation ship between the drawing measurement and the actual measurement as follows;
Actual measurement=scale factor×drawing measurement
where;
actual measurement=432 inches
drawing measurement=90 inches
scale factor=s
replacing;
432=s×90
90 s=432
s=432/90
s=4.8
Meaning in order to convert a drawing measurement in inches to the actual measurement in inches, we multiply the drawing measurement by a scale factor of 4.8. This implies;
1 inch drawing represents 4.8 inches on the actual deck, or similarly;
1 inch drawing represents (4.8/12), 0.4 feet on the actual deck
Scale: 1 inch:0.4 feet
b). Convert 5 inches drawing to actual measurement
Actual measurement(feet)=drawing measurement×scale factor
where;
drawing measurement=5 inches
scale factor=4.8
replacing;
actual measurement=(5×4.8)=24 feet
