Question

Construct a rectangle $WXYZ$ in which $WX=7$ cm and $XY=4$ cm. Find the area of the rectangle in sq. cm.

• A. $25$
• B. $28$
• C. $24$
• D. None of these

Answer 1

The correct option is B $28$

$\Rightarrow$ Draw a line segment $WX=7cm$

$\Rightarrow$ Construct an angle of ${90}^{\circ }$ at points $W$ and $X$.

$\Rightarrow$ Cut off $WZ=4cm$ and $XY=4cm$

$\Rightarrow$ Join $YZ$ and $WY$

$\Rightarrow$ Thus, $WXYZ$ is a required rectangle.

$\Rightarrow$ Let $l=7cm$ and $b=4cm$

$\Rightarrow$ Area of rectangle $WXYZ$ $=l\times b=7\times 4=28c{m}^2$