Chapter 11, Problem 19PT

To determine

To find: The perimeter and area of the figure.

Answer to Problem 19PT

The perimeter of the figure is $24$ .

The area of the figure is $21$ .

Explanation of Solution

Given Information: In figure sides of triangle and square are given.

Calculation: In figure sides of triangle and square are given.

Perimeter of figure :

  $\begin{array}{l}=5+5+5+1.5+2+2+2+1.5\\ =24\end{array}$

Area of figure:

  $\begin{array}{l}=5\times 3+2\times 1.5+2\times 1.5\\ =15+3+3\\ =21\end{array}$

Thus, the perimeter of the triangle is $24$ and the area of the triangle is $21$ .