Question

The parallel sides of a trapezium are $15cm$ and $9cm.$ The distance between them is $5cm$. A rectangle has the same area as the trapezium. If its length is $10cm,$ what is its breadth?

• A. $6cm$
• B. $3cm$
• C. $5cm$
• D. $10cm$

Answer 1

The correct option is A $6cm$

Area of trapezium $=\frac{1}{2}\times (AB+CD)\times AM$

$=\frac{1}{2}\times (9+15)\times 5$

$=\frac{1}{2}\times 24\times 5=60{cm}^2$

Now, area of rectangle $=$ area of trapezium

$\Rightarrow l\times b=60{cm}^2\Rightarrow 10\times b=60{cm}^2\Rightarrow b=\frac{60}{10}=6cm$

$\therefore$ $Breadth=6$ cm