Find the area of a parallelogram with sides 23 dm and 4.5 dm and the angle between the sides a = 45 °.

To solve the problem, we will use the formula for the area of a parallelogram:
S = a * b * sinα.
The sides of the parallelogram and the angle between them are given by condition, the sine of 45 degrees is a tabular value.
S = 23 * 4.5 * √2 / 2 ≈ 23 * 4.5 * 0.7 ≈ 72.45 (dm²).
Answer: the area is 72.45 dm².



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