CTET 2 Math and Science Feb 2015 Paper

Question : 35 of 120

Marks: +1, -0

The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm, and its altitude is 16 cm. The area (in

cm^2

) of the trapezium is

640
1024
512
320

Validate

Solution:

The perimeter of a Trapezium= 104
⇒Sum of non-parallel sides + sum of parallel sides = 104
⇒(18 + 22)cm + Sum of parallel sides = 104
∴ Sum of parallel sides = (104 – 40) cm
= 64 cm

=\;\;{1}/{2}×\;\text"sum of parallel sides"\;×\text "height"

=512\cm^2

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