Question

a rectangular blue tile has a length of 4.25 inches and a width of 6.75 inches. a similar tile has a length of 12.75 inches.what is the width of the red tile.

Answer 1

The width of the red tile would be
`2.25` inches.

Explanation:

Given blue tile has a length of
`4.25` inches, and a width of
`6.75`inches.

Also, length of similar tile is
`12.75` inches.

Let us assume
`x` as the width of red tile.

It is given in the question that both tiles are similar.

So, their area will be the same.

Area of blue tile would be
`4.25* 6.75=28.6875\ inch^2`

Area of red tile would be
`12.75* x`

The area of blue tile would be equal to area of red tile.

`28.6875=12.75* x`

`(28.6875)/(12.75)=x\\\\x=2.25`

So, the width of the red tile would be
`2.25` inches.