Whatever the ratio of perimeters of the similar figures, the areas will be in the ratios squared.
Examples:
* if the figures have perimeters in a ratio of 1:2, their areas will have a ratio of 1²:2² = 1:4.
* If the figures have perimeters in a ratio of 2:3, their areas will have a ratio of 2²:3² = 4:9.
No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.
Similar figures are geometrical figures, which have the same shape but not the same size
it is definitely similar figures!
Their angles are the same.
Similar figures.
The areas are different.
if you add up all the sides but in a smart way
they are related when you can multiply or divide them together and get a whole number
They must be the same.
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
First you have to go on stop being a fat kid
No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.
Their perimeters are in the same ratio.
The ratio of 25-ft to 20-ft is 5/4 or 1.25 .But ... knowing the perimeters alone is not enough informationto guarantee that the two figures are similar.-- They could be two rectangles, one measuring 25-ft by 1-ft, the other measuring 4-ft by 5-ft.Those are not similar rectangles.-- They could even be one rectangle and one triangle ... definitely not similar.
The relationship between them is similar to father and son.
The area scale factor is the square of the side length scale factor.
Atissue