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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.
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.
What is the similarity ratio and the ratio of the perimeters of two regular octagons with areas of 18in2 and 50in2?
is it 3:5 and 3:5
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 are examples of quadrilaterals?
Examples quadrilaterals are:square, rectangle etc
Is a rectangle the biggest parallelogram there is?
No. There are quadrilaterals (4-sided polygons) with bigger sides, or bigger perimeters, or bigger areas. There are polygons with more sides or vertices (as big a number as you like, and more).
Why would two shapes have equal areas and perimeters?
There is no particular reason. In fact, in general, two shapes will have different areas or perimeters or both.
What do you know about the perimeters of similar figures?
The areas are different.
Can a parallelogram and a rectangle have the same perimeters but different areas?
Yes.
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)
What is the width of two similar rectangles are 45 yd and 35 yd what is the ratio of the perimeters of the areas?
The ratio of their perimeters is also 45/35 = 9/7. The ratio of their areas is (9/7)2 = 81/63
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).
Is it true that when equilateral triangles have equal perimeters they must also have equal areas?
Yes.
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 was the most significant contribution of pi to the field of mathematics?
it has helped in finding the perimeters and areas of circle.
Why should you learn about how to calculate the perimeter and area of an object?
Knowing how to calculate areas is useful when ordering carpets, other floor coverings or quantities of turf to create a lawn. Calculating perimeters is required to order the correct length of fencing or hedging plants to enclose a garden or other area.
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.
