Asquare picture with a side length of 4 inches needs to be enlarged. the final area needs to be 81 square inches. which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0

Option 3rd is correct

Step-by-step explanation:

Area of square(A) is given by:

         .....[1]

where, s is the side length of the square.

As per the statement:

Here, x represents the increase in side length of the square in inches.

A square picture with a side length of 4 inches needs to be enlarged.

then;

Side length become = x+4 inches

It is also given that The final area needs to be 81 square inches.

Substitute the given values in [1] we have;

Using identity rule:

then;

Subtract 81 from both sides we have;

Therefore, the equation can be used to solve for x, the increase in side length of the square in inches is,

answer:

c. the third graph