Question

The area of a trapezoid is $40m^2$, if the height and length of one of the parallel sides is $5m$ and $2m$ respectively. The other side is

• A. $14m$
• B. $6m$
• C. $16m$

Answer 1

The correct option is A $14m$

Given:
$h=5m,a=2m$ and area $=40m^2$

Area of a trapezoid $=\frac{1}{2}\times (a+b)\times h$

$40=\frac{1}{2}\times (2+b)\times 5$

$40\times 2=2\times \frac{1}{2}\times (2+b)\times 5$

$80=(2+b)\times 5$

$\frac{80}{5}=(2+b)\times \frac{5}{5}$

$16=2+b$

$b=14m$

Therefore, the length of the other parallel side is $14m$.