Q11. - Algebra 1

Question

Find the perimeter of following figure.

Step-by-Step Solution

Answer

The perimeter of figure is $\begin{array}{l}8.2\text{\hspace{0.17em}\hspace{0.17em}cm}\\ 3.2\text{\hspace{0.17em}\hspace{0.17em}cm}\\ 1.8\text{\hspace{0.17em}\hspace{0.17em}cm}\end{array}$

Step 1. Given information.

Lengths of three sides of the figure are $3.2\text{\hspace{0.17em}\hspace{0.17em}cm}$, $3.2\text{\hspace{0.17em}\hspace{0.17em}cm}$ and $1.8\text{\hspace{0.17em}\hspace{0.17em}cm}$.

Step 2. Write the concept.

The given figure is a triangle.

So,

The perimeter of a traingle is the sum of length of all its sides.

Step 3. Write the expression for Perimeter.

The perimeter of figure is given by:

$3.2+3.2+1.8$

Step 4. Simplify the expression.

The expression $3.2+3.2+1.8$ can be simplified as in below.

$\begin{array}{c}3.2+3.2+1.8=6.4+1.8\\ =8.2\end{array}$

Therefore, the perimeter of triangle is $8.2\text{\hspace{0.17em}\hspace{0.17em}cm}$.