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If a 5in by 6in parallelogram is dilated by a scale factor of 4, what are the new side lengths?

If a 4in by 10in parallelogram is dilated by a scale factor of 1/4, what are the new side lengths?

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Final answer:

When a parallelogram is dilated by a scale factor, all of its side lengths are multiplied by that scale factor. For the first parallelogram with side lengths 5in by 6in and a scale factor of 4, the new side lengths would be 20in and 24in. For the second parallelogram with side lengths 4in by 10in and a scale factor of 1/4, the new side lengths would be 1in and 2.5in.

Step-by-step explanation:

When a parallelogram is dilated by a scale factor, all of its side lengths are multiplied by that scale factor.

For the first parallelogram with side lengths 5in by 6in and a scale factor of 4, the new side lengths would be 5in x 4 = 20in and 6in x 4 = 24in.

For the second parallelogram with side lengths 4in by 10in and a scale factor of 1/4, the new side lengths would be 4in x 1/4 = 1in and 10in x 1/4 = 2.5in.

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