Robert is making a scale drawing of a painting that is 48in. wide by 120in. high. His paper is 12in. wide and 24in. tall. He decides to use the scale 1in.= 4in. Is this a reasonable scale?
no,
4 x 24 is only 96
Thank You!! Is there any way you can explain a little bit to me how this answer is found? Thank You soo much for your help it is very greatly appreaciated!!
THANK YOU!
To determine if the chosen scale is reasonable, we need to compare the dimensions of the painting to the dimensions of the paper using the scale factor.
First, let's calculate the dimensions of the painting on the scale drawing using the given scale of 1in. = 4in.
To find the width of the scale drawing, we divide the actual width of the painting (48in.) by the scale factor (4):
Width of Scale Drawing = Actual Width of Painting / Scale Factor
Width of Scale Drawing = 48in. / 4 = 12in.
To find the height of the scale drawing, we divide the actual height of the painting (120in.) by the scale factor (4):
Height of Scale Drawing = Actual Height of Painting / Scale Factor
Height of Scale Drawing = 120in. / 4 = 30in.
Now let's compare the dimensions of the scale drawing to the dimensions of the paper:
Width of Paper = 12in.
Height of Paper = 24in.
Since the width of the scale drawing (12in.) is equal to the width of the paper (12in.), it will fit entirely on the paper width-wise.
However, the height of the scale drawing (30in.) is greater than the height of the paper (24in.). This means that the full height of the painting cannot fit on the paper using the chosen scale.
Considering this, the chosen scale of 1in. = 4in. does not seem reasonable since the height of the scale drawing exceeds the available height of the paper.