Question

Find the area of quadrilateral ABCD in which diagonal BD = 36 cm. AL ⊥ BD and CM ⊥ BD such that AL = 7 cm and CM = 11 cm.

Answer 1

Step-by-step explanation:

The given details are,

AL⊥BD and CM⊥BD

AL = 7 m, CM = 11 m, BD = 36m

By using the formula,

Area(quad. ABCD) =area(△ABD + area(△ACD)

Also, area of triangle =1/2×base×height

∴Ar.(quad.ABCD)=(1/2×BD×AL)+(1/2×BD×CM)

=(1/2×36×7)+(1/2×36×11)

=126+198

=324 m

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