Answer:
The area of the dilated square is 28 m^2
Explanation:
we know that whenever any figure is dilated by a factor 'b' units
so, area will be dilated by b^2 units
Here , we are given figure is dilated by 7 units
so, area will be dilated by 7^2
we are given
Area of square is
![=(4)/(7)](https://img.qammunity.org/2020/formulas/mathematics/high-school/bubmw27dotixexxw1tfw29at1w21pwvoqb.png)
now, we can multiply by 7^2
and we will get area as
![A_n=(4)/(7)* 7^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/pizfvzql08vjdm1odypkgy7rq4zut2o1no.png)
![A_n=28m^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/enz0zx9du0w8xw7egge23y63vcwr74k0ba.png)
So,
The area of the dilated square is 28 m^2