A square has an area of 81 inches.if the side lengths of the square are each mutlipied by 2,find the area of the new square​

Respuesta :

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