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Two triangles are similar and have a ratio of similarity of 3 1 What is the ratio of their perimeters and the ratio of their areas?
The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)
If the ratio of the side lengths of two similar polygons is 31 what is the ratio of the perimeters?
Their perimeters are in the same ratio.
What is the ratio of the areas of an equilateral triangle and a circle if their perimeters are same?
It is 0.6046 : 1 (approx).
If the areas of two similar decagons are 625 sq ft and 100 sq ft what is the ratio of the perimeters of the decagons?
If lengths are in the ratio a:b, then areas are in the ratio a2:b2 since area is length x length. If areas are in the ratio c:d, then lengths are in the ration sqrt(c):sqrt(d). Areas of decagons are 625sq ft and 100 sq ft, they are in the ratio of 625:100 = 25:4 (dividing through by 25 as ratios are usually given in the smallest terms). Thus their lengths are in the ratio of sqrt(25):sqrt(4) = 5:2 As perimeter is a length, the perimeters are in the ratio of 5:2.
If two rectangles are similar then the corresponding sides are?
If two rectangles are similar, they have corresponding sides and corresponding angles. Corresponding sides must have the same ratio.
Two triangles are similar and have a ratio of similarity of 3 1 What is the ratio of their perimeters and the ratio of their areas?
The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)
If the areas of two similar decagons are 625 ft2 and 100 ft2 what is the ratio of the perimeters of the decagons?
The areas of two similar decagons are in the ratio of 625 ft² to 100 ft², which simplifies to 6.25:1. Since the ratio of the perimeters of similar shapes is the square root of the ratio of their areas, we take the square root of 6.25, which is 2.5. Therefore, the ratio of the perimeters of the decagons is 2.5:1.
There are two rectangles what are the ratio of the first to the second?
I guess you mean the ratio of the areas; it depends if the 2 rectangles are "similar figures"; that is their matching sides are in the same ratio. If they are similar then the ratio of their areas is the square of the ratio of the sides.
If the ratio of the side lengths of two similar polygons is 31 what is the ratio of the perimeters?
Their perimeters are in the same ratio.
Is it true that the greater the perimeter the greater the area?
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.
What is the relationship between perimeters and areas of similar figures?
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.
What is the similarity ratio of the perimeters of 25ft and 20ft?
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.
How do you find the ratio of similar objects permiters?
To find the ratio of the perimeters of similar objects, you first need to determine the ratio of their corresponding linear dimensions (such as lengths or heights). Since similar objects maintain consistent proportions, the ratio of their perimeters is equal to the ratio of their corresponding linear dimensions. For example, if the ratio of the lengths of two similar objects is 2:3, then the ratio of their perimeters will also be 2:3.
If two polygons are similar then the ratio of their perimeters is the ratio of their corresponding sides. A. the square of B. the sum of C. the same as D. greater than?
If two polygons are similar, then the ratio of their perimeters is the same as the ratio of their corresponding sides. Therefore, the correct answer is C. the same as. This means that if the ratio of the lengths of corresponding sides is ( k ), then the ratio of their perimeters is also ( k ).
If the ratio of the measures of corresponding sides of two similar triangles is 49 then the ratio of their perimeters is?
4.9
What are ratio of two rectangles?
The ratio of two rectangles is typically expressed as the comparison of their corresponding dimensions, often in terms of width to height or length to width. For example, if one rectangle has dimensions of 4x6 and another has dimensions of 2x3, the ratio of their areas would be 24:6, simplifying to 4:1. Similarly, the ratio of their perimeters can be calculated based on their respective lengths and widths. Overall, the ratio provides a way to compare the size and shape of the rectangles relative to each other.
If the perimeters of two squares are in a ratio of 4 to 9 what is the areas of the two squares?
The ratio is 16 to 81.
