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3 years ago

Ezra drew a scale drawing of a house and its lot. The deck is 90 inches wide in the drawing.

Mathematics

1 answer:

NARA [144]3 years ago

7 0

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

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