Question

In a quadrilateral ABCD, $AB||CD,AB\perp CB$. If $AB=7.5cm,AD=13cm,CD=12.5cm$ then find the area of the quadrilateral.

• A. $30$
• B. $60$
• C. $90$
• D. $120$

Answer 1

Answer: (D)

$120$

In $△AED$, using pthyajoras theorem,

${AE}^2+{DE}^2={AD}^2$

$\Rightarrow AE=\sqrt{{\left(13\right)}^2-{\left(15\right)}^2}=\sqrt{169-125}=\sqrt{144}$

$AE=12cm=BC$

Area of field $=\frac{1}{2}(12.5+7.5)\times 12=6\times 20=120{cm}^2$