Aanya made a scale drawing of a picture. The original dimensions of the picture are 8 inches by 12 inches. Which choice shows a possible combination for the dimensions in Aanya’s drawing?
6 by 9 B
Aanya made a scale drawing of a picture. The original dimensions of the picture are 8 inches by 12 inches. Which choice shows a possible combination for the dimensions in Aanya’s drawing?
3 inches by 4 inches
6 inches by 9 inches
16 inches by 36 inches
24 inches by 32 inches
6 by 9
6 by 9 inches
To find the possible combination of dimensions in Aanya's drawing, we need to keep the same ratio between the dimensions of the original picture and the scale drawing.
The original dimensions of the picture are 8 inches by 12 inches. Let's assume the scale factor is "s". This means that every dimension of Aanya's drawing is scaled down by a factor of "s" compared to the original picture.
So, the possible combination for the dimensions in Aanya's drawing can be found by multiplying the original dimensions by the scale factor "s".
Let's consider some choices:
Choice A: 2 inches by 3 inches
To determine if this is a possible combination, we calculate the scale factor:
scale factor (s) = dimension in Aanya's drawing / dimension in original picture
s = 2 inches / 8 inches = 0.25
Now, let's check if this scale factor is the same for both dimensions:
s = 3 inches / 12 inches = 0.25
Since both ratios are equal to 0.25, this is a possible combination for the dimensions in Aanya's drawing.
Choice B: 3 inches by 4 inches
Calculating the scale factor:
s = 3 inches / 8 inches = 0.375
Checking the scale factor for the second dimension:
s = 4 inches / 12 inches = 0.333...
Since the scale factors are not the same for both dimensions, this is not a possible combination.
By applying the same process to the other choices, we can find the correct combination of dimensions in Aanya's drawing.