Which of the following statements are true from the given figure.

area of RAID = area of PAIN

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area of NAIL = area of PAIN

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area of NAIL = area of PAIL

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area

△

AIN = area of

△

AIL

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Solution

The correct options are
A area of RAID = area of PAIN
B area of NAIL = area of PAIN
D area $△$ AIN = area of $△$ AIL
Rectangle RAID and Parallelogram PAIN are on the same base and between the same parallels.
$∴$ Area of RAID = area of PAIN

Parallelogram NAIL and Parallelogram PAIN are on the same base and between the same parallels.
$∴$ Area of NAIL = area of PAIN

$△$ AIN and $△$ AIL are on the same base and between the same parallels.
$∴$ Area of $△$ AIN = area of $△$ AIL

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