An artist wants to reduce the size of a drawing using a scale factor of 3:1 . The original drawing has an area of 720 square inches.

What is area of the new drawing?

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divide by 9 which is 3 squared

like
length/3 * width/3

but in general for similar figures area is proportional to length squared and volume to length cubed

To find the area of the new drawing, we need to apply the scale factor to the original area.

The scale factor of 3:1 means that every dimension of the new drawing will be 3 times smaller than the original drawing. Since area is calculated by multiplying the length and width, the new area will be 3 times smaller in both dimensions, resulting in a total reduction of 9 times (3 x 3 = 9).

So, to find the area of the new drawing, we need to divide the original area by 9.

Area of new drawing = Original area / Scale factor squared

Area of new drawing = 720 / 9

Area of new drawing = 80 square inches

Therefore, the area of the new drawing would be 80 square inches.