Answer:
To find the area of a parallelogram, we need to multiply the base by the height.In this case, we have a parallelogram with a 45-degree angle, a width of 22 cm, and a height of 10 cm.Since the opposite sides of a parallelogram are parallel, we can use the height as one of the sides and the width as the base.To find the other side (which is also the height), we need to use the fact that the opposite sides of a parallelogram are equal in length. We can use the Pythagorean theorem to find the length of the other side:a^2 + b^2 = c^2where a = b = 10 cm (the height) and c is the length of the other side.c^2 = 10^2 + 10^2c^2 = 200c = sqrt(200) ≈ 14.14 cmNow we can find the area:Area = base x heightArea = 22 cm x 10 cmArea = 220 cm^2Therefore, the area of the parallelogram is 220 square centimeters.