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2 years ago

a rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.what are the side length of the scaled copy

Mathematics

1 answer:

nikklg [1K]2 years ago

5 0

In this question , it is given that A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.

And since the scale factor is 7, so we have to multiply the given dimension of the rectangle by 7 to find the new dimension, that is

$2*7 inches \ by \ 3*7 inches
\\ = 14 inches \ by \ 21 inches$

So the side lengths of the scaled copy are 14 inches and 21 inches .

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Yes, 10.5 cm, 8.0 cm and 4.0 cm can be the side lengths of a triangle.

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We have been given three lengths as 10.5 cm, 8.0 cm and 4.0 cm. We are asked to determine whether these side can be the side lengths of a triangle.

We will use triangle inequality theorem to solve our given problem.

Triangle inequality theorem states that sum of two sides of a triangle must be greater than 3rd side. Using triangle inequality theorem we will get 3 inequalities as:

$10.5+8.0>4.0$

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$12.0>10.5$ True

$10.5+4.0>8.0$

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Since all the three side lengths satisfy triangle inequality theorem, therefore, 10.5 cm, 8.0 cm and 4.0 cm can be the side lengths of a triangle.

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2 years ago