Chapter SH, Problem 11.6.6EP

To determine

Calculate the height of trapezoid having 8 m and 12 m bases and 70 square meters of area.

Answer to Problem 11.6.6EP

Height of trapezoid is $7m$

Explanation of Solution

Given:

Long base = 12 m

Short base = 8 m

Area of trapezoid = 70 sq. meter

Calculations:

Here, we have to calculate the height of trapezoid.

We know that, area of trapezoid is given as, $\frac{1}{2}\times height\times (longbase+shortbase)$

Now putting values in the formula, we get height of trapezoid,

  $\begin{array}{l}Areaoftrapezoid=\frac{1}{2}\times height\times (longbase+shortbase)\\ 70=\frac{1}{2}\times height\times (12+8)\\ 70=\frac{20}{2}\times height\\ Heightoftrapezoid=\frac{70}{10}=7m\end{array}$

Conclusion:

Therefore, we are able to find the height of trapezoid.