Question

If a trapezium ABCD has parallel side AB and CD measured 13 and 17 cm what should be the area of trapezium if the area of triangle ABC = 71$c{m}^2$.

• A. 163.5
• B. 205.5
• C. 310
• D. 91

Answer 1

The correct option is A

163.5

According to the given information:

$ar\left(\Delta ABC\right)=71c{m}^{2}andB=13cm$

$⟹\frac{1}{2}\times 13\times H=71$

$⟹H=10.9m$

As we know:

$⟹ar(quad.ABCD)=\frac{AB+CD}{2}\times H$

$ar(quad.ABCD)=163.5c{m}^2$