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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​

Respuesta :

calculista

Answer:

The area of the Mosaic increased​ [tex]3.25\ m^{2}[/tex]

Step-by-step explanation:

step 1

Find the area of the original Mosaic

The area of the square is equal to

[tex]A=b^{2}[/tex]

we have

[tex]b=3\ m[/tex]

substitute

[tex]A=(3)^{2}=9\ m^{2}[/tex]

step 2

Find the area of the increased Mosaic

The area of the square is equal to

[tex]A=b^{2}[/tex]

we have

[tex]b=3.5\ m[/tex]

substitute

[tex]A=(3.5)^{2}=12.25\ m^{2}[/tex]

step 3

Find the difference of the areas

[tex]12.25\ m^{2}-9\ m^{2}=3.25\ m^{2}[/tex]

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