Chapter 11.6, Problem 30PPS

To determine

To calculate: The perimeter and area of given trapezoid.

Answer to Problem 30PPS

The perimeter of the trapezoid = 18 m, area of trapezoid = 18.5 $m^2$ .

Explanation of Solution

Given information: In the given trapezoid, two parallel bases given $a=6.4$ m and

  $b=3.6$ m, height(h) = 3.7 m, two equal sides = 4 m.

Formula used: Perimeter of trapezoid = sum of all the sides.

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

Calculation:

Perimeter of trapezoid = sum of all the sides

  $\begin{array}{l}=(6.4+3.6+4+4)\\ =18\end{array}$

So, perimeter of the trapezoid = 18 m

Area of trapezoid

  $\begin{array}{l}\frac{1}{2}(a+b)\times h\\ =\frac{1}{2}(6.4+3.6)\times 3.7\\ =\frac{1}{2}\times 10\times 3.7\\ =\frac{1}{2}\times 37\\ =18.5\end{array}$

So, area of trapezoid = 18.5 $m^2$ .