Consider a square ABCD of side length 16. Let E, F be points on CD such that CE = EF = FD. Let the l

Question

Consider a square ABCD of side length 16. Let E, F be points on CD such that CE = EF = FD. Let the line BF and AE meet in M. The area of MAB is:

Accepted Answer

{"content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1:","type":"text"},{"text":" Eq of line AE: 2y – 3x + 16 = 0","type":"text"}],"type":"paragraph"},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 2:","type":"text"},{"text":" Eq of line BF: 2y + 3x – 32 = 0","type":"text"}]},{"content":[{"text":"Step 3:","type":"text","marks":[{"type":"bold"}]},{"text":" => M  (8, 4)","type":"text"}],"type":"paragraph"},{"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 4:"},{"type":"text","text":" Area of "},{"attrs":{"latex":"\triangle"},"type":"math_inline"},{"text":" AMB","type":"text"}],"type":"paragraph"},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 5:","type":"text"},{"text":" 16 16 1 = ( −16 ( 8 ) + 1( 64 − 8 \times 16 ) )","type":"text"}]},{"content":[{"text":"Step 6:","type":"text","marks":[{"type":"bold"}]},{"type":"text","text":" 1          1"}],"type":"paragraph"},{"content":[{"text":"Step 7:","type":"text","marks":[{"type":"bold"}]},{"type":"text","text":" 2          2"}],"type":"paragraph"},{"content":[{"text":"Step 8:","type":"text","marks":[{"type":"bold"}]},{"type":"text","text":" =     ( −16 \times 16 + 64 )"}],"type":"paragraph"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 9:","type":"text"},{"text":" =      ( 4 – 16 ) = 8 \times 12","type":"text"}],"type":"paragraph"},{"type":"paragraph","content":[{"text":"Step 10:","type":"text","marks":[{"type":"bold"}]},{"text":" = 96 sq.units","type":"text"}]}],"type":"doc"}

Guide / Hint

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