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Maths-

General

Easy

Question

A Square of side 4 units is combined with two right angled triangles of bases each 3units to form a Trapezium (as shown in figure). Then perimeter of the Trapezium is

14 units
24 units
16 units
22 units

The correct answer is: 24 units

To find the perimeter of trapezium.
using pythagoras theorem,
$left parenthesis h y p o t u n e s e right parenthesis squared equals left parenthesis b a s e right parenthesis to the power of 2 end exponent plus left parenthesis p e r p e n d i c u l a r right parenthesis squared h y p o t u n e s e space equals space square root of 3 squared plus 4 squared end root h y p o t u n e s e space equals space 5 p e r i m e t e r space o f space t r a p e z i u m space equals space 5 plus 5 plus 3 plus 4 plus 3 plus 4 space equals space 24 u n i t s.$

Therefore, the perimeter of trapezium is 24 units.

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