SSC CGL Tier II 21 Sep 2014 Paper

Question : 13 of 100

Marks: +1, -0

Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. The area of the plot in m

^{2}

768
534
696.5
684

Validate

Solution:

(4)

{AC}=√{ {AB}^{2}+ {BC}^{2}}

=√{32^{2}+24^{2}}

=√{1024+576}

=√{1600}=40 {\metre}

∴ Area of ΔABC

= {1}/{2} ×{BC}×{AB}

= {1}/{2} ×24× 32

=384 {sq.}

metre
Semi-peri meter of ΔADC (s)

= {25+25+40}/{2}

= {90}/{2}=45

metre
∴ Area of ΔADC

=√{s(s-a)(s-b)(s-c)}

=√{45(45-25)(45-25)(45-40)}

=√{45 × 20 × 20 × 5}=20 × 15

=300

sq. metre

Area of the plot

=384+300

=684

sq.metre

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