Answer:
The area of the new square=324 in²
Step-by-step explanation:
The area of a square can be expressed as;
A=L×L
where;
A=area of the square
And since the sides of a square are equal, they can be expressed as;
L=length of one side
L=length of the other side
In our case;
L=unknown
A=81 in²
replacing;
81=L²
√L²=√81
L=9
Multiply side length by 2
9×2=18 inches
The new area can be expressed as;
A=18²=324 in²
The area of the new square=324 in²