Question

Two rectangles are similar. the dimension of the first are 2 feet x 8 feet. if the lenght of the second is 20 feet, what is its width?

Answer 1

`5` ft

Explanation:

We know that similar rectangles are the rectangles those are of same shape but have dissimilar sizes.

Two rectangles are similar if the measurement of their corresponding sides are in the same ratio.
Therefore, we have the expression

`"Length of one rectangle"/"Width of same rectangle"="Length of other rectangle"/"Width of other rectangle"`

Inserting given values in above we get

`8/2=20/"Width of other rectangle"`
or `"Width of other rectangle"=20xx2/8=cancel40^5/cancel8^1=5'`