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Answers
Answer:
1536 cm^2
Step-by-step explanation:
As we know that Diagonals of a rhombus bisect each other at right angles.
Let ABCD be the rhombus.
AC = 48 cm, AB = 40 cm.
In right angled triangle AOB,
AB = 40 cm, AO = 24 cm.
By pythagorous theorem.
AB^2 = AO^2 + BO^2
⇒ (40)^2 = (24)² + BO^2
⇒ 1600 = 576 + BO^2
⇒ 1024 = BO^2
⇒ BO = 32 cm.
∴ Diagonal BD = 2 * BO
= 64 cm.
Area of rhombus = (1/2) * (Product of diagonals)
= (1/2) * (48) * 64
= 1536 cm^2.
Hence, Area of rhombus = 1536 cm^2.
(17)
Let the diagonal = 'x' cm.
Area of parallelogram = (1/2) * diagonal * (Sum of the lengths of the perpendicular drawn
676 = (1/2) * x * (13 + 13)
1352 = x * 26
x = 52 cm.
Hence, Diagonal = 52 cm.
Hope it helps you
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