Question

Luke made a Square Mosaic that has side lengths of three meters. Luke decided to add a border to his Mosaic and now it has a side length of 3.5 meters. by how much has the area of the Mosaic increased​

Answer 1

The area of the Mosaic increased​
`3.25\ m^(2)`

Explanation:

step 1

Find the area of the original Mosaic

The area of the square is equal to

`A=b^(2)`

we have

`b=3\ m`

substitute

`A=(3)^(2)=9\ m^(2)`

step 2

Find the area of the increased Mosaic

The area of the square is equal to

`A=b^(2)`

we have

`b=3.5\ m`

substitute

`A=(3.5)^(2)=12.25\ m^(2)`

step 3

Find the difference of the areas

`12.25\ m^(2)-9\ m^(2)=3.25\ m^(2)`