hammer for the updation wishl in (3-sqrt (2)) tent and its langth is (5+sqrt (2)) the perimentar in Sent end the area is towel A A. The perimeter of has baliner is and the crea in their 8. The perimeter and the late of her banner are both irotional numbers C. The perimet of her bonner is an inational number and the area is a raticha number. D. The perimeter and the area of he

To find the perimeter and area of the rectangle, we need to use the given dimensions.<br /><br />Given:<br />Length of the rectangle = $(5+\sqrt{2})$<br />Width of the rectangle = $(3-\sqrt{2})$<br /><br />Perimeter of a rectangle is given by the formula:<br />Perimeter = 2 * (Length + Width)<br /><br />Substituting the given values:<br />Perimeter = 2 * ((5 + √2) + (3 - √2))<br />Perimeter = 2 * (8)<br />Perimeter = 16<br /><br />Area of a rectangle is given by the formula:<br />Area = Length * Width<br /><br />Substituting the given values:<br />Area = (5 + √2) * (3 - √2)<br />Area = 15 - 2√2<br /><br />Therefore, the perimeter of the rectangle is 16 and the area is 15 - 2√2.<br /><br />So, the correct answer is:<br />A. The perimeter of the rectangle is 16 and the area is 15 - 2√2.