Respuesta :
Answer:
6 ft - 2 in
To convert ft into inches, multiply the amount of ft by 12.
6 * 12 = 72
72 in - 2 in
To find a the scale, make a ratio
72:2
This scale can also be made into 36:1 and 144:4 by simplifying
Hope this helped! \ ( O-o) / :)
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The area of the drawing of the tabletop for this considered case is obtained being of 36 sq. cm
How are scale drawings formed?
For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
For this case, we're given that:
- Scale used: 6 in. to 1 cm.
- The actual tabletop has an area of 1,296 sq. inches
The tabletop is square, so would be its drawing.
Let the side of the original tabletop be 'a' inches, then:
Area of the tabletop:
[tex]a^2 = 1296\\a = \sqrt{1296} = 36[/tex] inches.
Since each side of the tabletop is converted by the scale 6 in. to 1 cm in drawing, so we get converted side length of the tabletop in drawing as:
6 in -> 1 cm
36 inches = six times 6 inches -> six times 1 cm = 6 cm
Thus, in drawing, the tabletop has 6 cm sides.
Thus, its area is: [tex]6^2 = 36[/tex] sq. cm
Thus, the area of the drawing of the tabletop for this considered case is obtained being of 36 sq. cm
Learn more about scale factors here :
https://brainly.com/question/8765466
