The area of a rhombus is 336 square cm. One of the diagonal is 14 cm. What is the perimeter (in cm) of the rhombus?
Show answer & explanation
Correct answer: D
Explanation
Area of the rhombus = (Diagonal 1 × Diagonal 2) / 2
336 = (14 × Diagonal 2) / 2
Diagonal 2 = 48 cm
Half-diagonals = 7 cm and 24 cm
Side = √(7² + 24²)
= √(49 + 576)
= √625
= 25 cm
Perimeter = 4 × 25
= 100 cm