2 similar rectangles have areas of 6in and 24 in. What is the scale factor of the smaller rectangle to the larger rectangle?
To find the scale factor between two similar rectangles, you can compare the ratio of their side lengths or the ratios of their areas.
In this case, the ratio of the areas is given as 6in² for the smaller rectangle and 24in² for the larger rectangle. To find the scale factor, divide the larger area by the smaller area:
Scale factor = Larger area / Smaller area
Scale factor = 24in² / 6in²
Simplifying the ratio:
Scale factor = 4
Therefore, the scale factor of the smaller rectangle to the larger rectangle is 4.
To find the scale factor of two similar rectangles, we can use the following formula:
Scale Factor = Square root of (Area of Larger Rectangle / Area of Smaller Rectangle)
In this case, the area of the larger rectangle is 24 square inches, and the area of the smaller rectangle is 6 square inches.
Let's calculate the scale factor:
Scale Factor = √(24 / 6)
Scale Factor = √4
Scale Factor = 2
Therefore, the scale factor of the smaller rectangle to the larger rectangle is 2.
scale factore is 1:2
That should have said:
6 square inches and 24 square inches
area1/area2 = (side1)^2 / (side2)^2
6/24 = side1^2/side2^2
1/4 = side1^2/side2^2
side2^2 = 4side1^2
take √
side2 = 2 side1
the scale factor is 1 : 2