A slide projector gives a magnification of $10$ . If a slide of dimensions $(3 c m x 2 c m)$ is projected on the screen, the area of the image on the screen is:

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Solution

Step 1: Given data
The magnification of the slide projector is $M = 10 .$
the dimension of the slide is $(3 c m x 2 c m) = 6 c m^{2} .$
Step 2: Magnification
The magnification of a slide is defined as the ratio of the image area and object area.
$M a g n i f i c a t i o n = \frac{I m a g e a r e a}{O b j e c t a r e a}$
Step 3: Finding the area of the image
As we know, $M a g n i f i c a t i o n = \frac{I m a g e a r e a}{O b j e c t a r e a}$ .
So,
$M a g n i f i c a t i o n = \frac{I m a g e a r e a}{O b j e c t a r e a} o r I m a g e a r e a = (M a g n i f i c a t i o n \times O b j e c t a r e a) = (10 \times 6 c m^{2}) o r I m a g e a r e a = 60 c m^{2}$
Therefore, the area of the image on the screen is $60 c m^{2}$ .

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A slide projector gives a magnification of 10. If a slide of dimensions 3cmx2cm is projected on the screen, the area of the image on the screen is:

A slide projector gives a magnification of $10$ . If a slide of dimensions $(3 c m x 2 c m)$ is projected on the screen, the area of the image on the screen is: