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What happens to the area of a square when you triple the side lengths?
The area is increased by a factor of 9.
How are the areas of 2 similar figures related?
The areas of two similar figures are related by the square of the ratio of their corresponding side lengths. If the ratio of the side lengths of the two figures is ( k:1 ), then the ratio of their areas will be ( k^2:1 ). This means that if one figure is scaled up or down by a factor, its area will change by the square of that factor. Thus, similar figures have areas that scale proportionally to the square of their linear dimensions.
What is the square factor from a square inch to a square foot?
The conversion factor to change an area in square inches to square feet is 1 square inch is equal to 0.0069427252080 square foot. So, 100 square inches is equal to 0.69427 square feet using this conversion factor.
What is the relationship between scale factor and perimeter?
It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.
What are the lengths of the sides of a square if the area is 2cm squared?
The lengths of the sides of a square if the area is 2cm squared is: 1.414 cm
What happens to the area of a square when you triple the side lengths?
The area is increased by a factor of 9.
How are the areas of 2 similar figures related?
The areas of two similar figures are related by the square of the ratio of their corresponding side lengths. If the ratio of the side lengths of the two figures is ( k:1 ), then the ratio of their areas will be ( k^2:1 ). This means that if one figure is scaled up or down by a factor, its area will change by the square of that factor. Thus, similar figures have areas that scale proportionally to the square of their linear dimensions.
What is the scale factor of 9 square cm and 900 square cm?
10Scale factors are based on linear measures. The ratio of areas is the square of the rations of lengths. The ratio of the areas is 900/9 = 100, so the ratio of lengths is the square root of100 = 10.
What happens to the perimeter of a square when you double the sides?
The perimeter also doubles, since it is the sum of the side lengths
What is the square factor from a square inch to a square foot?
The conversion factor to change an area in square inches to square feet is 1 square inch is equal to 0.0069427252080 square foot. So, 100 square inches is equal to 0.69427 square feet using this conversion factor.
What is the relationship between scale factor and perimeter?
It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.
If the length of a side of a square is doubled how does this effect area?
When you double the length of one side, the area is increased by a factor of four. Example:A square with side lengths of 10 feet has an area of 100 square feet.A square with side lengths of 20 feet has an area of 400 square feet.
What happens to the area of a square when you double its sides?
The area will increase by a factor of 4 in this case.
What are the lengths of the sides of a square if the area is 2cm squared?
The lengths of the sides of a square if the area is 2cm squared is: 1.414 cm
How is a square and equilateral triangle the same?
A square's sides have equal lengths, and an equilateral triangle's sides also have equal lengths.
How is the perimeter and the size change factor related?
If you change the scale factor of a geometric figure by a factor "x", that is, keeping the new figure similar to the old one, the perimeter (which is also a linear measurement) will change by the SAME factor "x".Note that any area will change by a factor of x squared.
What is the perimeter of a square having side lengths of 21 in?
Perimeter of a figure means the sum of the lengths of all the sides.A square has four sides, and in this case, the square's sides' lengths are 21 in.21 in. * 4 sides = 84 in.
