A trapezium \ABCD has side \AD parallel to \BC, \angle\BAD=90^\circ,\BC=3\cm. If the perimeter of thistrapezium is 36 cm, then its area, in sq. cm, is

CAT 2022 Slot 1 Paper

Question : 50 of 66

Marks: +1, -0

A trapezium $\ABCD$ has side $\AD$ parallel to $\BC, ∠\BAD=90°,\BC=3\cm$ . If the perimeter of thistrapezium is 36 cm, then its area, in sq. cm, is

Your Answer:

Validate

Solution:

\C \D={√{y^2+25}}

11+y+{√{y^2+25}}=36

{√{y^2+25}}=25-y

y^2+25=25^2+y^2-50 y

2 y=24

y=12

Area of trapezium

=3 y+{5 y}/{2}={11 y}/{2}={11}/{2}(12)=66

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