Question

Construct a trapezium ABCD with dimesions: $AB=6cm,AD=4cm,CD=3cm$, $\angle DAB={90}^o$, and $AB\parallel CD$. Find the perimeter of the trapezium ABCD (in cm).

• A. $14$
• B. $16$
• C. $20$
• D. None of these

Answer 1

The correct option is D None of these

$\Rightarrow$ Draw a line segment AB = 6cm.

$\Rightarrow$ Construct an angle of ${90}^{\circ }$ at point A.

$\Rightarrow$ Cut off AD = 4cm.

$\Rightarrow$ Draw a horizontal line through point D.

$\Rightarrow$ Cot off line CD = 3cm.

$\Rightarrow$ Join CB.

$\Rightarrow$ Thus, ABCD isa required trapezium.

$\Rightarrow$ Measure length of BC.

$\Rightarrow$ $l\left(BC\right)=5cm$

$\Rightarrow$ Perimeter of trapezium $ABCD=l\left(AB\right)+l\left(BC\right)+l\left(CD\right)+l\left(AD\right)$

$\Rightarrow$ $6+5+3+4$

$\Rightarrow$ Perimeter of trapezium $ABCD=18cm$.