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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q12. (page 3)

Find the perimeter of following figure.

Short Answer

Expert verified

The perimeter of figure is $18 \frac{1}{2} 鈥夆赌塱苍肠丑别蝉$ .

Step by step solution

01

Step 1. Given information.

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

02

Step 2. Write the concept.

The given figure is a rectangle.

So,

The perimeter of a rectangle is given by:

$P = 2 (Length + Width)$

03

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:

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

04

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" $\begin{matrix} \frac{13}{2} + \frac{11}{4} = \frac{13 脳 2}{2 脳 2} + \frac{11}{4} \\ = \frac{26}{4} + \frac{11}{4} \\ = \frac{26 + 11}{4} \\ = \frac{37}{4} \end{matrix}$

So,

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

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

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