Question

3. The perimeter of a rhombus is 52 cm. The length of one of its diagonals is
24 cm. Find the area of the rhombus.
) 120 cm (2) 100 cm (3) 180 cm (4) 60 cm

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Answer 1

Answer:

Area of the rhombus = 120 cm²

Explanation:

Side of a rhombus = 1/2 × 52cm = 13cm

Let Ac = 24 CM so that,

AO = 1/2 × 24cm = 12cm

OB² = AB² – OA² = (169 – 144 )= 25

Or OB = 5 and thus BD = 2 OB = 2 × 5 = 10cm

Area of the rhombus = 1/2 × 24 × 10 = 120cm² .

This is your answer dear.