A square piece of fabric has an area of 16x² + 40x + 25 square inches. The length of each side of the fabric is cx + d inches where c and d are whole numbers. Find the perimeter, in inches, when x = 2.​

Respuesta :

The perimeter of the square is 16x + 20 inches

How to work out the perimeter of the square?

The area is given as:

Area = 16x² + 40x + 25 square inches

Express as a perfect square

Area = (4x + 5)²

The perimeter of the rectangle is calculated using:

Perimeter = 4 * √Area

So, we have:

Perimeter = 4 * √(4x + 5)²

Evaluate the exponent

Perimeter = 4 * (4x + 5)

Evaluate the product

Perimeter = 16x + 20

Hence, the perimeter of the square is 16x + 20 inches

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