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

Answer:

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

Step-by-step 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 $4.25\times 6.75=28.6875\ inch^2$

Area of red tile would be $12.75\times x$

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

$28.6875=12.75\times x$

$\frac{28.6875}{12.75}=x\\\\x=2.25$

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