Question

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width. Write an equation could john solve to find w

Answer 1

Let w represent width of mosaic.

We have been given that John wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width. So length of the mosaic would be
`w+2`.

We are told that John has 48 square centimeter tiles he wants to use to create a mosaic. This means that area of mosaic should be equal to 48 square cm.

We know that area of rectangle is width times length, so we can represent area of mosaic as:

`w(w+2)=48`

Therefore, our required equation would be
`w(w+2)=48`.