Chapter SH, Problem 11.9.1EP

To determine

Calculate the area given trapezoid.

Answer to Problem 11.9.1EP

Area of given trapezoid is $52.25f{t}^2$

Explanation of Solution

Given:

  

Calculations:

Here, we have to calculate the area of trapezoid.

We know that, area of trapezoid is given as,

  $\frac{1}{2}\times height\times (longbase+shortbase)$

Here, long base = 8ft+3ft = 11ft

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

  $\begin{array}{l}Areaoftrapezoid=\frac{1}{2}\times height\times (longbase+shortbase)\\ =\frac{1}{2}\times 5.5\times (11+8)\\ =\frac{104.5}{2}\\ Areaoftrapezoid=52.25f{t}^2\end{array}$

Conclusion:

Therefore, we are able to find the area of given trapezoid.