contestada

Two rectangles are similar one has a length of 11 cm wide and a width of 10 cm and the other had a width of 7 cm find the length of the second rectangle round to the nearest tenth if necessary.

A.7.7
B.8.9
C5.8
D.6.4

Respuesta :

kudzordzifrancis

Answer:

A. [tex]7.7[/tex]

Step-by-step explanation:

First  Rectangle

[tex]L=11cm[/tex]

[tex]W=10cm[/tex]

Second Rectangle

[tex]l=?[/tex]

[tex]w=7cm[/tex]

Since the two rectangles are similar the corresponding sides are in the same proportion;

[tex]\frac{l}{L}=\frac{w}{W}[/tex]

Substitute the values to get;

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

Multiply both sides by 11;

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

[tex]l=7.7cm[/tex]