in the original drawing, the rectangular pieces of paper from which the hands emerge measures 27.6 cm by 19.9 cm. on a poster of the drawing the paper is 82.8 cm long. what is the scale factor of the dilation used to make the poster?
is it scale factor:3
what is the area of the paper on the poster.
if the scale factor= 3 area =4943.16
To find the scale factor used to make the poster, you can divide the length of the paper on the poster by the length of the original rectangular paper.
In this case, the length of the original paper is 27.6 cm and the length of the paper on the poster is 82.8 cm.
So, the scale factor = Length on the poster / Length of original = 82.8 cm / 27.6 cm = 3.
Therefore, the scale factor used to make the poster is indeed 3.
To find the area of the paper on the poster, you can use the scale factor to determine the relationship between the areas of similar shapes.
Since the length scale factor is 3, the area scale factor will be the square of the length scale factor, which is (3)^2 = 9.
The area of the original paper can be calculated by multiplying its length (27.6 cm) by its width (19.9 cm), which gives 550.44 cm².
To find the area of the paper on the poster, you multiply the area of the original paper by the area scale factor, which gives 550.44 cm² * 9 = 4953.96 cm².
Therefore, the area of the paper on the poster is approximately 4953.96 cm².