MATH SOLVE

5 months ago

Q:
# A square has a side length of 3x + 5. What expression is equivalent to the AREA of the square MINUS the PERIMETER of the square?Please show your work.*There is no answer choices

Accepted Solution

A:

The length of the side of the square is 3x+5

The area of the square is the side squared ... (3x + 5)2

The perimeter of the square is 4 times a side ... 4(3x+5)

AREA - PERIMETER

= (3x + 5)2 - 4(3x + 5)

= (3x + 5)(3x + 5) - 12x - 20

= 9x2 + 15x + 15x - 12x - 20

= 9x2 + 18x - 20

The area of the square is the side squared ... (3x + 5)2

The perimeter of the square is 4 times a side ... 4(3x+5)

AREA - PERIMETER

= (3x + 5)2 - 4(3x + 5)

= (3x + 5)(3x + 5) - 12x - 20

= 9x2 + 15x + 15x - 12x - 20

= 9x2 + 18x - 20