Chapter 11.4, Problem 5ACYP

To determine

To find: the area of the given figure.

Answer to Problem 5ACYP

The area of the figure is 63.1 $m^2$ .

Explanation of Solution

Given information: The given figure is shown below.

  

Calculation:

To find the area of the given figure, subtract the area of the triangle from the area of the trapezium.

Using the Pythagoras Theorem, the height of the triangle is $\sqrt{6^2-1^2}=\sqrt{35}=5.9$ m .

From the figure, height of the trapezium=height of the triangle + 1 =5.9 +1 = 6.9 m .

Area of the figure = Area of the trapezium − Area of the triangle.

= $\begin{array}{l}=\frac{(a+b)}{2}.h-\frac{1}{2}.b.h\\ =\frac{((5+2+5)+8)}{2}\times 6.9-\frac{1}{2}\times 2\times 5.9\\ =69-5.9\\ =63.1m^2\end{array}$

Therefore, the area of the figure is 63.1 $m^2$ .