Question

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

Answer 1

A.
`7.7`

Explanation:

First Rectangle

`L=11cm`

`W=10cm`

Second Rectangle

`l=?`

`w=7cm`

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

`(l)/(L)=(w)/(W)`

Substitute the values to get;

`(l)/(11)=(7)/(10)`

Multiply both sides by 11;

`l=(7)/(10)* 11`

`l=7.7cm`