A parallelogram has sides of 22 cm and 16 cm. The angle between them is 45°. Find the exact area of the parallelogram and the height corresponding to the longer side.
Show answer & explanation
Correct answer: A
Explanation
Given:
Sides of the parallelogram = 22 cm, 16 cm
Angle between the two sides = 45°
According to the formula:
Area = ab sinθ
Height = Area / Base
Area = 22 × 16 × sin45°
= 352 × (√2 / 2)
= 176√2 cm²
Longer side = 22 cm
Height = Area / Base = 176√2 / 22 = 8√2 cm