problems 2 - 4: leonardo da vincis famous painting, the mona lisa, measures 21 inches by 30 inches.\n2…

problems 2 - 4: leonardo da vincis famous painting, the mona lisa, measures 21 inches by 30 inches.\n2. create a scale drawing of the outline of the mona lisa where 1 unit represents 3 inches.\n3. create a scale drawing of the outline of the mona lisa where 2 units represents 5 inches.\n4. imagine a new scale drawing of the mona lisa where 3 units represent 1 inch. is this drawing smaller, larger, or equal in size compared to your previous drawings? explain your thinking.

problems 2 - 4: leonardo da vincis famous painting, the mona lisa, measures 21 inches by 30 inches.\n2. create a scale drawing of the outline of the mona lisa where 1 unit represents 3 inches.\n3. create a scale drawing of the outline of the mona lisa where 2 units represents 5 inches.\n4. imagine a new scale drawing of the mona lisa where 3 units represent 1 inch. is this drawing smaller, larger, or equal in size compared to your previous drawings? explain your thinking.

Answer

Step - by - Step Format

Explanation:

Step1: Calculate dimensions for the first scale drawing

For the first scale where 1 unit represents 3 inches: The length of the Mona Lisa is 21 inches. The number of units for the length is $\frac{21}{3}=7$ units. The height of the Mona Lisa is 30 inches. The number of units for the height is $\frac{30}{3}=10$ units.

Step2: Calculate dimensions for the second scale drawing

For the second scale where 2 units represent 5 inches: The length of 21 inches: First, find out how many groups of 5 - inch are in 21 inches. $21\div5 = 4.2$. Then the number of units is $4.2\times2=8.4$ units. The height of 30 inches: $30\div5 = 6$, and the number of units is $6\times2 = 12$ units.

Step3: Analyze the third scale drawing

For the third scale where 3 units represent 1 inch: The length of 21 inches will have $21\times3=63$ units. The height of 30 inches will have $30\times3 = 90$ units. Compared to the first scale drawing (7 units by 10 units) and the second scale drawing (8.4 units by 12 units), this new drawing is larger because the number of units for both length and height is much greater.

Answer:

  1. The scale - drawing should be 7 units by 10 units.
  2. The scale - drawing should be 8.4 units by 12 units.
  3. The new drawing is larger. When 3 units represent 1 inch, the length of 21 inches is represented by 63 units and the height of 30 inches is represented by 90 units, which are much larger than the number of units in the previous two scale drawings.