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diamong [38]
3 years ago
6

The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the seco

nd rectangle? pls help im solving hw ._.
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

Given:

Two rectangles are similar.

Length of first rectangle = 18 cm

Width of first rectangle = 6 cm

Width of second rectangle = 2 cm

To find:

The length of the second rectangle.

Solution:

We know that the corresponding sides of similar triangles are proportional. So,

\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}

Let x be the length of the second rectangle. Then,

\dfrac{18}{6}=\dfrac{x}{2}

3=\dfrac{x}{2}

3\times 2=x

6=x

Therefore, the length of the second rectangle is 6 cm.

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