Question

The area of a trapezium is $210$ $i{n}^2$ and its parallel sides are $30$ in and $12$ in. Find the height.

• A. $8in$
• B. $9in$
• C. $10in$
• D. $11in$

Answer 1

The correct option is C $10in$

Area of a trapezoid = $\frac{1}{2}(b_1+b_2)\times h$
$b_1=$ 30 in
$b_2=$ 12 in
h = ?
$210$ = $\frac{1}{2}(30+12)\times h$
$210$ = $\frac{1}{2}\times 42\times h$
$210=21\times h$
Height, $h=10in$.