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  1. The perimeter of a rhombus is 100 cm and one of its diagonals is 40 cm. Its area (in cm²) is
    1. 1200
    2. 1000
    3. 600
    4. 500
Correct Option: C

Using Rule 12,

BD = 40 cm
BE = 20 cm
AE = x cm

AB =
100
= 25 cm
4

∴ From ∆ ABE,
AE = √25² - 20²
= √45 × 5 = 15cm
∴ AC = 30 cm
Area of rhombus ABCD =
1
d1d2 =
1
× 40 × 30 = 600 sq. cm
22



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