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Two rectangles are similar. One has a length of 11 cm and a width of 10 cm, and the other has a width of 7 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.

Respuesta :

The answer would be 7.7 cm

Answer:

The length of the rectangle is 7.7 cm.

Step-by-step explanation:

When two rectangle are similar then the ratio of their length is equal to the ratio of their width,

Given,

The length of one rectangle = 11 cm,

Its width = 10 cm,

Also, the width of the second rectangle = 7 cm,

Let l be the length of the second rectangle,

By the above property,

[tex]\frac{l}{11}=\frac{7}{10}[/tex]

[tex]\implies l = \frac{77}{10}=7.7\text{ cm}[/tex]

Hence, the length of the second rectangle is 7.7 cm.

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