A rectangle has one side of 6 cm, and its diagonal is 22 cm. Find the other side and the area.
Show answer & explanation
Correct answer: A
Explanation
Given:
One side of the rectangle = 6 cm
Diagonal = 22 cm
Formula:
Diagonal² = Side₁² + Side₂²
Area = Length × Width
22² = 6² + b²
48² = 36 + b²
b² = 448
b = √448
b = 8√7 cm
Area = 6 × 8√7 = 48√7 cm²
Other side = 8√7 cm
Area = 48√7 cm².