Q: How are the areas of similar rectangles related to the scale factor?

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The areas are related by the square of the scale factor.

For areas: Square the Scale Factor.

When the can be added or subtracted evenly

The ratio of any two corresponding similar geometric figures lengths in two . Note: The ratio of areas of two similar figures is the square of the scale factor. The ratio of volumes of two similar figures is the cube of the scale factor. .... (: hope it helped (: .....

rddffdg

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Rectangles are related to the distributive property because you can divide a rectangle into smaller rectangles. The sum of the areas of the smaller rectangles will equal the area of the larger rectangle.

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.

The areas are related by the square of the scale factor.

For areas: Square the Scale Factor.

When the can be added or subtracted evenly

multiply the length with the breadth.

The areas will be proportional to (scale)2

The ratio of their perimeters is also 45/35 = 9/7. The ratio of their areas is (9/7)2 = 81/63

The ratio of any two corresponding similar geometric figures lengths in two . Note: The ratio of areas of two similar figures is the square of the scale factor. The ratio of volumes of two similar figures is the cube of the scale factor. .... (: hope it helped (: .....

rddffdg

I can give the width of one of the rectangles. The first rectangle of area 15 cm2 and length of 5 cm has width of 3 cm. It is impossible to know the width of the other rectangle of area 60 cm2. However, if you had said that the two rectangles were similar, then the dimensions of the second rectangle would be 10 cm X 6 cm. But you didn't say that the two rectangles were similar; so there are infinite possibilities of what the dimensions of the second rectangle might be.

If the sides of two shapes have a scale factor of sf:1, then their areas will be in the ratio of sf2: 1.