Chapter 1: Q12. (page 3)

Find the perimeter of following figure.

Short Answer

Expert verified

The perimeter of figure is $18 \frac{1}{2} inches$ .

Step by step solution

Step 1. Given information.

Lengths of two sides of the figure are $6 \frac{1}{2}$ inch and $2 \frac{3}{4}$ inch.

Step 2. Write the concept.

The given figure is a rectangle.

So,

The perimeter of a rectangle is given by:

$P = 2 (Length + Width)$

Step 3. Write the expression for Perimeter.

Length of rectangle $= 6 \frac{1}{2}$ inch

Width of rectangle $= 2 \frac{3}{4}$ inch

The perimeter of figure is given by:

$P = 2 (6 \frac{1}{2} + 2 \frac{3}{4})$

Step 4. Simplify the expression.

The expression $P = 2 (6 \frac{1}{2} + 2 \frac{3}{4})$ can be simplified as in below.

role="math" localid="1642004533662" $\begin{matrix} P = 2 (6 \frac{1}{2} + 2 \frac{3}{4}) \\ = 2 (\frac{13}{2} + \frac{11}{4}) \end{matrix}$

Since,

role="math" localid="1642004691901" $\begin{matrix} \frac{13}{2} + \frac{11}{4} = \frac{13 \times 2}{2 \times 2} + \frac{11}{4} \\ = \frac{26}{4} + \frac{11}{4} \\ = \frac{26 + 11}{4} \\ = \frac{37}{4} \end{matrix}$

So,

role="math" localid="1642004841212" $\begin{matrix} P = 2 (\frac{37}{4}) \\ = 2 \times \frac{37}{4} \\ = \frac{37}{2} \\ = 18 \frac{1}{2} \end{matrix}$

Therefore, the perimeter of triangle is $18 \frac{1}{2}$ inches.

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Find the perimeter of following figure.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Write the expression for Perimeter.

Step 4. Simplify the expression.

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